2506291200 has 864 divisors, whose sum is σ = 10998514800. Its totient is φ = 557383680.

The previous prime is 2506291169. The next prime is 2506291211. The reversal of 2506291200 is 21926052.

2506291200 is a `hidden beast` number, since 25 + 0 + 629 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67737582 + ... + 67737618.

Almost surely, 2^2506291200 is an apocalyptic number.

2506291200 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 2506291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499257400).

2506291200 is an abundant number, since it is smaller than the sum of its proper divisors (8492223600).

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

2506291200 is a wasteful number, since it uses less digits than its factorization.

2506291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2506291200 is about 50062.8724705245. The cubic root of 2506291200 is about 1358.3463175979.

The spelling of 2506291200 in words is "two billion, five hundred six million, two hundred ninety-one thousand, two hundred".