2536254642816 has 384 divisors, whose sum is σ = 8202979699200. Its totient is φ = 748277139456.

The previous prime is 2536254642791. The next prime is 2536254642851. The reversal of 2536254642816 is 6182464526352.

2536254642816 is a `hidden beast` number, since 2 + 5 + 3 + 62 + 546 + 4 + 28 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2536254642816² (a number of 26 digits) contains 22 as substring.

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, 21588651 + ... + 21705813.

It is an arithmetic number, because the mean of its divisors is an integer number (21361926300).

Almost surely, 2^{2536254642816} 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 2536254642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101489849600).

2536254642816 is an abundant number, since it is smaller than the sum of its proper divisors (5666725056384).

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

2536254642816 is a wasteful number, since it uses less digits than its factorization.

2536254642816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117268 (or 117253 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 2536254642816 in words is "two trillion, five hundred thirty-six billion, two hundred fifty-four million, six hundred forty-two thousand, eight hundred sixteen".