There used to be a giant PSP around the corner from Kotaku's NYC branch office, at the midway point between my chair and Rockstar Games HQ. Now there's just this H&M billboard. [UPDATE: Sony comments.]
This PSP that stood above Houston Street just off of Lafayette Street, was massive, larger even than an Atari Lynx. It was affixed to a billboard and had been running promotional PSP videos at least since 2006.
Here it is in a photo of the giant PSP circa 2008, which I pulled from Curbed.com.
That site, along with the outlet you're reading now, have covered the literal ups and downs of the giant PSP, which has been lowered for repairs in the past.