2 is a bit young to play any videogames period. specially on a small screen console. at that age, its probably not good for their eyes.
i got my gameboy when i was 6 and my brothers got one when they were like 4. and looking back, i think that was pretty early. on the pro side, one of them learned how to read on his own with a pokemon game and the pokemon series. but thats probably not going to happen all the time.
put away your consoles and play age apropriate games with your child, like 'where's daddy' or 'lets build a tower and smash it down', or puzzles. or teach him all the animals with a great book of all animals (because you know, its sad when cityfolk children cant identify a cow)
theres going to be lots of time to play videogames with your children in a bunch of years. also, when you start giving them games a daily time limit of 20-40 minutes of play is plenty. as a responsible parent, you want them to diversify hobbies and video games can otherwise quickly absorb all day for children.