2315607120 has 60 divisors (see below), whose sum is σ = 7776582996. Its totient is φ = 617495040.

The previous prime is 2315607113. The next prime is 2315607127. The reversal of 2315607120 is 217065132.

It is a happy number.

2315607120 is a `hidden beast` number, since 2 + 31 + 5 + 607 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2315607113) and next prime (2315607127).

It can be written as a sum of positive squares in 2 ways, for example, as 510037056 + 1805570064 = 22584^2 + 42492^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315607127) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1607341 + ... + 1608780.

Almost surely, 2^2315607120 is an apocalyptic number.

2315607120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2315607120 is an abundant number, since it is smaller than the sum of its proper divisors (5460975876).

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

2315607120 is a wasteful number, since it uses less digits than its factorization.

2315607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216140 (or 3216131 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2315607120 is about 48120.7556050401. The cubic root of 2315607120 is about 1322.9851174876.

The spelling of 2315607120 in words is "two billion, three hundred fifteen million, six hundred seven thousand, one hundred twenty".