2313039456 has 576 divisors, whose sum is σ = 8736215040. Its totient is φ = 582266880.

The previous prime is 2313039451. The next prime is 2313039457. The reversal of 2313039456 is 6549303132.

It is a happy number.

2313039456 is a `hidden beast` number, since 231 + 30 + 394 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2313039456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313039451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31685436 + ... + 31685508.

It is an arithmetic number, because the mean of its divisors is an integer number (15167040).

Almost surely, 2^2313039456 is an apocalyptic number.

2313039456 is a gapful number since it is divisible by the number (26) 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 2313039456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368107520).

2313039456 is an abundant number, since it is smaller than the sum of its proper divisors (6423175584).

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

2313039456 is a wasteful number, since it uses less digits than its factorization.

2313039456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2313039456 is about 48094.0688235046. The cubic root of 2313039456 is about 1322.4959387051.

The spelling of 2313039456 in words is "two billion, three hundred thirteen million, thirty-nine thousand, four hundred fifty-six".