2508122800 has 60 divisors (see below), whose sum is σ = 6082184376. Its totient is φ = 993856000.

The previous prime is 2508122777. The next prime is 2508122833. The reversal of 2508122800 is 82218052.

It is a super-3 number, since 3×2508122800³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13500 + ... + 72100.

Almost surely, 2^2508122800 is an apocalyptic number.

2508122800 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 2508122800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041092188).

2508122800 is an abundant number, since it is smaller than the sum of its proper divisors (3574061576).

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

2508122800 is a wasteful number, since it uses less digits than its factorization.

2508122800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58726 (or 58715 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 2508122800 is about 50081.1621270913. The cubic root of 2508122800 is about 1358.6771306197.

The spelling of 2508122800 in words is "two billion, five hundred eight million, one hundred twenty-two thousand, eight hundred".