2596016998656 has 405 divisors, whose sum is σ = 7905448816419. Its totient is φ = 847319159808.

The previous prime is 2596016998643. The next prime is 2596016998661. The reversal of 2596016998656 is 6568996106952.

The square root of 2596016998656 is 1611216.

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

2596016998656 is a `hidden beast` number, since 2 + 5 + 9 + 601 + 6 + 9 + 9 + 8 + 6 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15545011885 + ... + 15545012051.

Almost surely, 2^{2596016998656} is an apocalyptic number.

2596016998656 is the 1611216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2596016998656

2596016998656 is an abundant number, since it is smaller than the sum of its proper divisors (5309431817763).

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

2596016998656 is an frugal number, since it uses more digits than its factorization.

2596016998656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 377913600, while the sum is 72.

The spelling of 2596016998656 in words is "two trillion, five hundred ninety-six billion, sixteen million, nine hundred ninety-eight thousand, six hundred fifty-six".