2313583920 has 120 divisors (see below), whose sum is σ = 7789345200. Its totient is φ = 615403008.

The previous prime is 2313583913. The next prime is 2313583999. The reversal of 2313583920 is 293853132.

2313583920 is a `hidden beast` number, since 231 + 35 + 8 + 392 + 0 = 666.

2313583920 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 (120).

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

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, 297846 + ... + 305514.

It is an arithmetic number, because the mean of its divisors is an integer number (64911210).

Almost surely, 2^2313583920 is an apocalyptic number.

2313583920 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 2313583920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894672600).

2313583920 is an abundant number, since it is smaller than the sum of its proper divisors (5475761280).

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

2313583920 is a wasteful number, since it uses less digits than its factorization.

2313583920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8107 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2313583920 is about 48099.7288973649. The cubic root of 2313583920 is about 1322.5996975547.

The spelling of 2313583920 in words is "two billion, three hundred thirteen million, five hundred eighty-three thousand, nine hundred twenty".