I'm not entirely sure, but the coin may have been struck on a larger than usual planchet or perhaps even overstruck on another coin.
Also, the first photo of coin #2 displays something strage at the rim from about 1 to 4 oclock. It looks like one rim on the inside, a small space of separation, then another rim.
Im pretty sure off-center strikes on older russian copper coins are quite common, but the increased size of your coin and that double rim (I guess thats what you could call it) makes me think it may have been struck over a different coin.
I would suggest doing an advanced search in the numista catalog by entering a range of the weight, diameter and maybe thickness, as well as the metal, to find a possible host coin. I only say maybe thickness because I've noticed not all the entries include the thickness.
For example, I would do something like this:
Weight: 15 - 17 Grams
Diameter: 30 - 31 mm
Metal: Copper
Thickness: 2.5 - 3 mm (OPTIONAL)
Good Luck!
EDIT: Just took a look at the images provided in the entry for the 1817 2 Kopecks on Numista, and even those photos show an off center strike. I have to say, I'm confused about this one.
The 2nd coin is hardly worth the time you'll spend on its research. It's a very common 2 Kopecks with mintage of 75 million in 1817 and catalog value of $2 in VF condition. Yours is by far below that grade and probably costs about the price of copper it is made from, if you are lucky enough to find a buyer. Weight fluctuations and double strikes are quite common for Russian copper coinage of 18th and early 19th centuries.
I collect coins and tokens which circulated in Africa from 18th century to 2000. I sell about 7000 illustrated world coins from http://www.avscoins.com.
Citeer: "Andrey"The 2nd coin is hardly worth the time you'll spend on its research. It's a very common 2 Kopecks with mintage of 75 million in 1817 and catalog value of $2 in VF condition. Yours is by far below that grade and probably costs about the price of copper it is made from, if you are lucky enough to find a buyer. Weight fluctuations and double strikes are quite common for Russian copper coinage of 18th and early 19th centuries.
Maybe in Russia and eastern european countries but everywhere else old Russian copper coins are a bit more valuable, these coins in vf condition sell for around 4-5 euros.
Still, the condition is quite bad so the value is around 2 euros/usd.