2513701707264 has 960 divisors, whose sum is σ = 8867887776000. Its totient is φ = 696311562240.

The previous prime is 2513701707229. The next prime is 2513701707367. The reversal of 2513701707264 is 4627071073152.

2513701707264 is a `hidden beast` number, since 2 + 5 + 1 + 370 + 17 + 0 + 7 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1591957227 + ... + 1591958805.

It is an arithmetic number, because the mean of its divisors is an integer number (9237383100).

Almost surely, 2^{2513701707264} is an apocalyptic number.

2513701707264 is a gapful number since it is divisible by the number (24) 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 2513701707264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433943888000).

2513701707264 is an abundant number, since it is smaller than the sum of its proper divisors (6354186068736).

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

2513701707264 is a wasteful number, since it uses less digits than its factorization.

2513701707264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 2513701707264 in words is "two trillion, five hundred thirteen billion, seven hundred one million, seven hundred seven thousand, two hundred sixty-four".