2314516360 has 128 divisors (see below), whose sum is σ = 5765165280. Its totient is φ = 830988288.

The previous prime is 2314516343. The next prime is 2314516387. The reversal of 2314516360 is 636154132.

2314516360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 14546596 + 2299969764 = 3814^2 + 47958^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3775414 + ... + 3776026.

Almost surely, 2^2314516360 is an apocalyptic number.

2314516360 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 2314516360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882582640).

2314516360 is an abundant number, since it is smaller than the sum of its proper divisors (3450648920).

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

2314516360 is a wasteful number, since it uses less digits than its factorization.

2314516360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2314516360 is about 48109.4206990689. The cubic root of 2314516360 is about 1322.7773554315. Note that the first 3 decimals are identical.

The spelling of 2314516360 in words is "two billion, three hundred fourteen million, five hundred sixteen thousand, three hundred sixty".