2313122400 has 144 divisors (see below), whose sum is σ = 8365870800. Its totient is φ = 616826880.

The previous prime is 2313122369. The next prime is 2313122423. The reversal of 2313122400 is 42213132.

2313122400 is a `hidden beast` number, since 231 + 31 + 2 + 2 + 400 = 666.

2313122400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 31945 + ... + 75144.

It is an arithmetic number, because the mean of its divisors is an integer number (58096325).

Almost surely, 2^2313122400 is an apocalyptic number.

2313122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2313122400 is an abundant number, since it is smaller than the sum of its proper divisors (6052748400).

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

2313122400 is a wasteful number, since it uses less digits than its factorization.

2313122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107118 (or 107099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2313122400 is about 48094.9311258473. The cubic root of 2313122400 is about 1322.5117464470.

Adding to 2313122400 its reverse (42213132), we get a palindrome (2355335532).

The spelling of 2313122400 in words is "two billion, three hundred thirteen million, one hundred twenty-two thousand, four hundred".