2689652480256 has 405 divisors, whose sum is σ = 9335191761819. Its totient is φ = 767999812608.

The previous prime is 2689652480213. The next prime is 2689652480261. The reversal of 2689652480256 is 6520842569862.

The square root of 2689652480256 is 1640016.

It is a perfect power (a square), and thus also a powerful number.

2689652480256 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 6 + 524 + 80 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2689652480193 and 2689652480202.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1653135315 + ... + 1653136941.

Almost surely, 2^{2689652480256} is an apocalyptic number.

2689652480256 is the 1640016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2689652480256

2689652480256 is an abundant number, since it is smaller than the sum of its proper divisors (6645539281563).

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

2689652480256 is an frugal number, since it uses more digits than its factorization.

2689652480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 2689652480256 in words is "two trillion, six hundred eighty-nine billion, six hundred fifty-two million, four hundred eighty thousand, two hundred fifty-six".