Balls numbered $1,2,3,\dots$ are deposited in 5 bins, labeled $A,B,C,D,$ and $E$ using the following procedure. Ball 1 is deposited in bin $A$, and balls 2 and 3 are deposited in bin $B$. The next 3 balls are deposited in bin $C$, the next 4 in bin $D$, and so on, cycling back to bin $A$ after balls are deposited in bin $E$. In which bin is ball 2000 deposited?