2564624516832 has 960 divisors, whose sum is σ = 9831811207680. Its totient is φ = 638092836864.

The previous prime is 2564624516819. The next prime is 2564624516869. The reversal of 2564624516832 is 2386154264652.

2564624516832 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 624 + 5 + 1 + 6 + 8 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 251996928 + ... + 252007104.

It is an arithmetic number, because the mean of its divisors is an integer number (10241470008).

Almost surely, 2^{2564624516832} 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 2564624516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915905603840).

2564624516832 is an abundant number, since it is smaller than the sum of its proper divisors (7267186690848).

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

2564624516832 is a wasteful number, since it uses less digits than its factorization.

2564624516832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10285 (or 10268 counting only the distinct ones).

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

The spelling of 2564624516832 in words is "two trillion, five hundred sixty-four billion, six hundred twenty-four million, five hundred sixteen thousand, eight hundred thirty-two".