Jay Z and Beyonce Rented A Jungle For Blue Ivy's Birthday

Beyonce and Jay Z celebrated Blue Ivy's 2nd birthday in spectacular fashion ...  closing down an entire theme park -- for a celebration that the kid will never remember.

Blue Ivy spent the day Tuesday with lemurs, orangutans, kangaroos and penguins at Jungle Island -- a wildlife park and botanical garden in Miami.

Park officials are keeping the cost under wraps ... but it's gotta be pricey to close the entire park.  Put it this way ... a VIP safari tour for just one person costs $240.

Check out the pics ... and Blue Ivy's bling.