2536937694720 has 2560 divisors, whose sum is σ = 11150646312960. Its totient is φ = 538432634880.

The previous prime is 2536937694719. The next prime is 2536937694749. The reversal of 2536937694720 is 274967396352.

2536937694720 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 93 + 76 + 9 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19975887297 + ... + 19975887423.

It is an arithmetic number, because the mean of its divisors is an integer number (4355721216).

Almost surely, 2^{2536937694720} is an apocalyptic number.

2536937694720 is a gapful number since it is divisible by the number (20) 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 2536937694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575323156480).

2536937694720 is an abundant number, since it is smaller than the sum of its proper divisors (8613708618240).

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

2536937694720 is a wasteful number, since it uses less digits than its factorization.

2536937694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 2536937694720 in words is "two trillion, five hundred thirty-six billion, nine hundred thirty-seven million, six hundred ninety-four thousand, seven hundred twenty".