2512057968 has 320 divisors, whose sum is σ = 8614051840. Its totient is φ = 685843200.

The previous prime is 2512057931. The next prime is 2512057973. The reversal of 2512057968 is 8697502152.

2512057968 is a `hidden beast` number, since 2 + 5 + 12 + 0 + 579 + 68 = 666.

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, 11905383 + ... + 11905593.

It is an arithmetic number, because the mean of its divisors is an integer number (26918912).

Almost surely, 2^2512057968 is an apocalyptic number.

2512057968 is a gapful number since it is divisible by the number (28) 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 2512057968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307025920).

2512057968 is an abundant number, since it is smaller than the sum of its proper divisors (6101993872).

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

2512057968 is a wasteful number, since it uses less digits than its factorization.

2512057968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2512057968 is about 50120.4346349870. The cubic root of 2512057968 is about 1359.3873336146.

The spelling of 2512057968 in words is "two billion, five hundred twelve million, fifty-seven thousand, nine hundred sixty-eight".