2564624264652 has 192 divisors, whose sum is σ = 6970233876480. Its totient is φ = 814811616000.

The previous prime is 2564624264641. The next prime is 2564624264693.

2564624264652 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 624 + 2 + 6 + 4 + 6 + 5 + 2 = 666.

2564624264652 is nontrivially palindromic in base 10.

2564624264652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2564624264652² (a number of 26 digits) contains 22 as substring.

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

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, 31232233 + ... + 31314239.

It is an arithmetic number, because the mean of its divisors is an integer number (36303301440).

Almost surely, 2^{2564624264652} 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 2564624264652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485116938240).

2564624264652 is an abundant number, since it is smaller than the sum of its proper divisors (4405609611828).

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

2564624264652 is a wasteful number, since it uses less digits than its factorization.

2564624264652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82229 (or 82221 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 2564624264652 in words is "two trillion, five hundred sixty-four billion, six hundred twenty-four million, two hundred sixty-four thousand, six hundred fifty-two".