2616505332 has 144 divisors (see below), whose sum is σ = 7277760000. Its totient is φ = 729279936.

The previous prime is 2616505301. The next prime is 2616505349. The reversal of 2616505332 is 2335056162.

It is a super-2 number, since 2×2616505332² = 13692200304768860448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2616505293 and 2616505302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6903519 + ... + 6903897.

It is an arithmetic number, because the mean of its divisors is an integer number (50540000).

Almost surely, 2^2616505332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616505332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638880000).

2616505332 is an abundant number, since it is smaller than the sum of its proper divisors (4661254668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2616505332 is a wasteful number, since it uses less digits than its factorization.

2616505332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2616505332 is about 51151.7871828541. The cubic root of 2616505332 is about 1377.9724710000.

The spelling of 2616505332 in words is "two billion, six hundred sixteen million, five hundred five thousand, three hundred thirty-two".