I'm not sure if the rate would go up to 2 kHz (not 2 GHz!). Depends how the USB hub is designed. What you can do however is to buy 4 RaspberryPis (total cost 150$) and run everythign in parallel. The evaluation boards works nicely with the Pi's.
A related question is: if the 4 boards are triggering at max rate (500Hz), would the total data throughtput (of the four boards together) be 2GHz (500Hz x 4)? Or is the limitation on the readout, rather than the triggering?