2317138800 has 120 divisors (see below), whose sum is σ = 7562823984. Its totient is φ = 606228480.

The previous prime is 2317138793. The next prime is 2317138823. The reversal of 2317138800 is 88317132.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45384 + ... + 81816.

Almost surely, 2^2317138800 is an apocalyptic number.

2317138800 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 2317138800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781411992).

2317138800 is an abundant number, since it is smaller than the sum of its proper divisors (5245685184).

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

2317138800 is a wasteful number, since it uses less digits than its factorization.

2317138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36507 (or 36496 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2317138800 is about 48136.6679362002. The cubic root of 2317138800 is about 1323.2767534910.

The spelling of 2317138800 in words is "two billion, three hundred seventeen million, one hundred thirty-eight thousand, eight hundred".