Airtime, a new video chat service from Napster co-founders Sean Parker and Shawn Fanning, already has about 2,000 monthly users, even though the site has yet to officially launch.

Airtime, which is still in a testing phase, has been running on Facebook’s Open Graph platform, and maintains about 70 daily active users, and 600 weekly active users, according to a source familiar with the project.

According to Airtime’s site, the company is a small team located in San Francisco, that “shares a passion for using the latest video technology to bring people together.” Airtime’s investors include Founders Fund, Accel Partners, Andreessen Horowitz, Google Ventures, SV Angel, Yuri Milner, Ashton Kutcher, will.i.am, Scott Braun, and Michael Arrington.

Fanning and Parker have been secretive about the development of the Airtime service, while they recruit engineers via the startup’s website. Also, potential future users are can sign up to become testers through Facebook Connect.

Parker was played by Justin Timberlake in the 2010 film The Social Network.