2315379456 has 216 divisors, whose sum is σ = 7504145376. Its totient is φ = 681246720.

The previous prime is 2315379397. The next prime is 2315379457. The reversal of 2315379456 is 6549735132.

2315379456 is a `hidden beast` number, since 23 + 1 + 537 + 94 + 5 + 6 = 666.

Its product of digits (680400) is a multiple of the sum of its prime divisors (3402).

It is not an unprimeable number, because it can be changed into a prime (2315379457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687216 + ... + 690576.

Almost surely, 2^2315379456 is an apocalyptic number.

2315379456 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 2315379456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752072688).

2315379456 is an abundant number, since it is smaller than the sum of its proper divisors (5188765920).

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

2315379456 is a wasteful number, since it uses less digits than its factorization.

2315379456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3402 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 2315379456 is about 48118.3899980039. The cubic root of 2315379456 is about 1322.9417586707.

The spelling of 2315379456 in words is "two billion, three hundred fifteen million, three hundred seventy-nine thousand, four hundred fifty-six".