2512072080 has 480 divisors, whose sum is σ = 10438022400. Its totient is φ = 528519168.

The previous prime is 2512072051. The next prime is 2512072093. The reversal of 2512072080 is 802702152.

2512072080 is a `hidden beast` number, since 2 + 512 + 0 + 72 + 0 + 80 = 666.

2512072080 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 2×2512072080² = 12621012270231052800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3542766 + ... + 3543474.

It is an arithmetic number, because the mean of its divisors is an integer number (21745880).

Almost surely, 2^2512072080 is an apocalyptic number.

2512072080 is a gapful number since it is divisible by the number (20) 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 2512072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219011200).

2512072080 is an abundant number, since it is smaller than the sum of its proper divisors (7925950320).

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

2512072080 is a wasteful number, since it uses less digits than its factorization.

2512072080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2512072080 is about 50120.5754156913. The cubic root of 2512072080 is about 1359.3898791554.

The spelling of 2512072080 in words is "two billion, five hundred twelve million, seventy-two thousand, eighty".