2313567360 has 320 divisors, whose sum is σ = 8900309880. Its totient is φ = 569327616.

The previous prime is 2313567353. The next prime is 2313567407. The reversal of 2313567360 is 637653132.

2313567360 is a `hidden beast` number, since 2 + 31 + 3 + 567 + 3 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1249763904 + 1063803456 = 35352^2 + 32616^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 672204 + ... + 675636.

Almost surely, 2^2313567360 is an apocalyptic number.

2313567360 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 2313567360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4450154940).

2313567360 is an abundant number, since it is smaller than the sum of its proper divisors (6586742520).

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

2313567360 is a wasteful number, since it uses less digits than its factorization.

2313567360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3477 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 2313567360 is about 48099.5567547145. The cubic root of 2313567360 is about 1322.5965419450.

The spelling of 2313567360 in words is "two billion, three hundred thirteen million, five hundred sixty-seven thousand, three hundred sixty".