2601951315264 has 560 divisors, whose sum is σ = 8945492131840. Its totient is φ = 732480537600.

The previous prime is 2601951315251. The next prime is 2601951315289. The reversal of 2601951315264 is 4625131591062.

It is a happy number.

2601951315264 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 95 + 1 + 31 + 526 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 695893107 + ... + 695896845.

Almost surely, 2^{2601951315264} is an apocalyptic number.

2601951315264 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 2601951315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472746065920).

2601951315264 is an abundant number, since it is smaller than the sum of its proper divisors (6343540816576).

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

2601951315264 is a wasteful number, since it uses less digits than its factorization.

2601951315264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2601951315264 in words is "two trillion, six hundred one billion, nine hundred fifty-one million, three hundred fifteen thousand, two hundred sixty-four".