2315137600 has 84 divisors (see below), whose sum is σ = 5750350704. Its totient is φ = 917332480.

The previous prime is 2315137597. The next prime is 2315137651. The reversal of 2315137600 is 67315132.

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, 164439 + ... + 177961.

It is an arithmetic number, because the mean of its divisors is an integer number (68456556).

Almost surely, 2^2315137600 is an apocalyptic number.

2315137600 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 2315137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875175352).

2315137600 is an abundant number, since it is smaller than the sum of its proper divisors (3435213104).

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

2315137600 is a wasteful number, since it uses less digits than its factorization.

2315137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13652 (or 13637 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 2315137600 is about 48115.8767975811. The cubic root of 2315137600 is about 1322.8956938609.

The spelling of 2315137600 in words is "two billion, three hundred fifteen million, one hundred thirty-seven thousand, six hundred".