You cannot really download them from the internet directly to your ps2 per say. Even if you download them and make a copy on a disk they will not work.
It talks about a few ways to do what I think you are asking. If you have an old PS2 (fat) you can put a hard drive in it. If you have a slim one (new) you have to get an external hard drive.
PS2 games are not for the PC and are illegal to download
You can not legally download the games
No you can not download and play PS2 games that way.
No you can only download games from the Playstation store and they do not have PS2 games
The PS2 plays games on discs and burnt games do not work with a the PS2
no
No it means that the PlayStation network will let you download PS2 software
No PS2 DownloadingNo you can't. The reason being that the games are copyrighted.
You can not download any quick fix to have a PS3 play PS2 games.
The Pirate Bay
PS2 games are on DVD discs
no you can download just ps3 games on you ps3