2313137600 has 168 divisors, whose sum is σ = 5986759680. Its totient is φ = 877972480.

The previous prime is 2313137597. The next prime is 2313137627. The reversal of 2313137600 is 67313132.

It is a self number, because there is not a number n which added to its sum of digits gives 2313137600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8795069 + ... + 8795331.

Almost surely, 2^2313137600 is an apocalyptic number.

2313137600 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 2313137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993379840).

2313137600 is an abundant number, since it is smaller than the sum of its proper divisors (3673622080).

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

2313137600 is a wasteful number, since it uses less digits than its factorization.

2313137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 26.

The square root of 2313137600 is about 48095.0891463983. The cubic root of 2313137600 is about 1322.5146432723.

The spelling of 2313137600 in words is "two billion, three hundred thirteen million, one hundred thirty-seven thousand, six hundred".