2315308800 has 648 divisors, whose sum is σ = 9361650816. Its totient is φ = 501473280.

The previous prime is 2315308769. The next prime is 2315308817. The reversal of 2315308800 is 88035132.

It is a happy number.

It is a hoax number, since the sum of its digits (30) 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 (30).

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, 21638347 + ... + 21638453.

It is an arithmetic number, because the mean of its divisors is an integer number (14446992).

Almost surely, 2^2315308800 is an apocalyptic number.

2315308800 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 2315308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680825408).

2315308800 is an abundant number, since it is smaller than the sum of its proper divisors (7046342016).

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

2315308800 is a wasteful number, since it uses less digits than its factorization.

2315308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2315308800 is about 48117.6558032496. The cubic root of 2315308800 is about 1322.9283015930.

The spelling of 2315308800 in words is "two billion, three hundred fifteen million, three hundred eight thousand, eight hundred".