By Sony's count they have been 10,912 worldwide software titles and 1,808 in North America. You might not count them the same because each different version of a game is counted as a software title by them. Wikipedia PS2 game count is 2,016 see related links
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Not until a couple of years after a new model of the PlayStation has been released and they will continue to make and sell the games already released until they are no longer profitable to market.
As of April, 2009, no PlayStation 3 emulator has been developed or released.
The PlayStation 2 will phase out by the end of 2010, it's been 10 years since it's launch and a couple of FINAL games will be released for it, but It's sad to say that by 2011 PS2 games will no longer be made.
As the Playstation 4 is on its way to begin released, rumors of a Playstation 5 have not yet fully surfaced. Some websites, such as Tips of Tech touch on the subject lightly but most sources will not have information until after the Playstation 4 has been released to the public.
The PlayStation 5 is amazing, did you know it sells in 2 different types of consoles? They offer cd rom consoles and non cd rom consoles where you can download your games to hard drive. The non cd rom consoles are cheaper.