2564011644534 has 128 divisors (see below), whose sum is σ = 5764055126400. Its totient is φ = 844806758400.

The previous prime is 2564011644517. The next prime is 2564011644553. The reversal of 2564011644534 is 4354461104652.

2564011644534 is a `hidden beast` number, since 2 + 5 + 6 + 40 + 11 + 64 + 4 + 534 = 666.

2564011644534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2564011644534.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1348768984 + ... + 1348770884.

It is an arithmetic number, because the mean of its divisors is an integer number (45031680675).

Almost surely, 2^{2564011644534} is an apocalyptic number.

2564011644534 is an abundant number, since it is smaller than the sum of its proper divisors (3200043481866).

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

2564011644534 is a wasteful number, since it uses less digits than its factorization.

2564011644534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 2564011644534 in words is "two trillion, five hundred sixty-four billion, eleven million, six hundred forty-four thousand, five hundred thirty-four".