2531034414656 has 112 divisors (see below), whose sum is σ = 5578013004480. Its totient is φ = 1129746309120.

The previous prime is 2531034414607. The next prime is 2531034414677. The reversal of 2531034414656 is 6564144301352.

It is a super-3 number, since 3×2531034414656³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 38886716 + ... + 38951748.

It is an arithmetic number, because the mean of its divisors is an integer number (49803687540).

Almost surely, 2^{2531034414656} 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 2531034414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789006502240).

2531034414656 is an abundant number, since it is smaller than the sum of its proper divisors (3046978589824).

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

2531034414656 is a wasteful number, since it uses less digits than its factorization.

2531034414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66052 (or 66042 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 2531034414656 in words is "two trillion, five hundred thirty-one billion, thirty-four million, four hundred fourteen thousand, six hundred fifty-six".