Is it normal for a billionaire to have so much security?
I imagine as CEO of Facebook he probably receives a lot of hate mail and possibly threats. Better safe than sorry.
Zuckerberg is also quite a private person (as you can probably tell from him buying up surrounding homes to distance himself from the neighbours) so scaring off journalists and paparazzi is probably an intended effect of his security detail.
I don't think it's unreasonable for someone of his wealth and fame to have 24/7 guards. Their primary duty would be to lessen that time of notification and dispatch of PD, and casually act as a deterrent.