2315265120 has 576 divisors, whose sum is σ = 9616029696. Its totient is φ = 515082240.

The previous prime is 2315265119. The next prime is 2315265133. The reversal of 2315265120 is 215625132.

It is a happy number.

2315265120 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 2 + 651 + 2 + 0 = 666.

It is a super-2 number, since 2×2315265120² = 10720905151777228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12791430 + ... + 12791610.

It is an arithmetic number, because the mean of its divisors is an integer number (16694496).

Almost surely, 2^2315265120 is an apocalyptic number.

2315265120 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 2315265120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808014848).

2315265120 is an abundant number, since it is smaller than the sum of its proper divisors (7300764576).

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

2315265120 is a wasteful number, since it uses less digits than its factorization.

2315265120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2315265120 is about 48117.2019136608. The cubic root of 2315265120 is about 1322.9199822029.

The spelling of 2315265120 in words is "two billion, three hundred fifteen million, two hundred sixty-five thousand, one hundred twenty".