2315205200 has 120 divisors (see below), whose sum is σ = 6934883520. Its totient is φ = 721612800.

The previous prime is 2315205173. The next prime is 2315205229. The reversal of 2315205200 is 25025132.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6785 + ... + 68384.

It is an arithmetic number, because the mean of its divisors is an integer number (57790696).

Almost surely, 2^2315205200 is an apocalyptic number.

2315205200 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 2315205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467441760).

2315205200 is an abundant number, since it is smaller than the sum of its proper divisors (4619678320).

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

2315205200 is a wasteful number, since it uses less digits than its factorization.

2315205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75205 (or 75194 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2315205200 is about 48116.5792632851. The cubic root of 2315205200 is about 1322.9085695359.

The spelling of 2315205200 in words is "two billion, three hundred fifteen million, two hundred five thousand, two hundred".