2620536516864 has 144 divisors (see below), whose sum is σ = 8856443021440. Its totient is φ = 748724705280.

The previous prime is 2620536516863. The next prime is 2620536516869. The reversal of 2620536516864 is 4686156350262.

2620536516864 is a `hidden beast` number, since 2 + 6 + 20 + 536 + 5 + 1 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2620536516864.

It is not an unprimeable number, because it can be changed into a prime (2620536516863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27032227 + ... + 27128994.

Almost surely, 2^{2620536516864} is an apocalyptic number.

2620536516864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2620536516864 is an abundant number, since it is smaller than the sum of its proper divisors (6235906504576).

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

2620536516864 is an equidigital number, since it uses as much as digits as its factorization.

2620536516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54161253 (or 54161233 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2620536516864 in words is "two trillion, six hundred twenty billion, five hundred thirty-six million, five hundred sixteen thousand, eight hundred sixty-four".