2616353664 has 128 divisors (see below), whose sum is σ = 7177070880. Its totient is φ = 843939840.

The previous prime is 2616353659. The next prime is 2616353671. The reversal of 2616353664 is 4663536162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2156322 + ... + 2157534.

Almost surely, 2^2616353664 is an apocalyptic number.

2616353664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588535440).

2616353664 is an abundant number, since it is smaller than the sum of its proper divisors (4560717216).

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

2616353664 is a wasteful number, since it uses less digits than its factorization.

2616353664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1396 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 2616353664 is about 51150.3046325239. The cubic root of 2616353664 is about 1377.9458453626.

The spelling of 2616353664 in words is "two billion, six hundred sixteen million, three hundred fifty-three thousand, six hundred sixty-four".