2313826560 has 432 divisors, whose sum is σ = 8544279744. Its totient is φ = 599187456.

The previous prime is 2313826553. The next prime is 2313826601. The reversal of 2313826560 is 656283132.

It is a happy number.

2313826560 is a `hidden beast` number, since 2 + 3 + 13 + 82 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2313826560² = 10707586699522867200, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13374634 + ... + 13374806.

Almost surely, 2^2313826560 is an apocalyptic number.

2313826560 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 2313826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272139872).

2313826560 is an abundant number, since it is smaller than the sum of its proper divisors (6230453184).

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

2313826560 is an equidigital number, since it uses as much as digits as its factorization.

2313826560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2313826560 is about 48102.2510907754. The cubic root of 2313826560 is about 1322.6459323695.

The spelling of 2313826560 in words is "two billion, three hundred thirteen million, eight hundred twenty-six thousand, five hundred sixty".