Having won his opening service game, Brazilian Bellucci went on to break Ferrer at the first time of asking.
A number of unforced errors from the Spaniard allowed Bellucci to extend his lead to 3-0, before he went on to serve out the set 6-3.
Unseeded Bellucci continued to take full advantage of Ferrer's mistake in the next set, breaking the world number five on two further occasions.
That left the 24-year-old with the opportunity to serve for the match, which he took to seal a 6-3 6-2 success.
Bellucci will now face Dutchman Robin Hasse for a place in round four.