2314316160 has 384 divisors, whose sum is σ = 8892898560. Its totient is φ = 550748160.

The previous prime is 2314316111. The next prime is 2314316197. The reversal of 2314316160 is 616134132.

2314316160 is a `hidden beast` number, since 2 + 3 + 1 + 43 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2320782 + ... + 2321778.

It is an arithmetic number, because the mean of its divisors is an integer number (23158590).

Almost surely, 2^2314316160 is an apocalyptic number.

2314316160 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 2314316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446449280).

2314316160 is an abundant number, since it is smaller than the sum of its proper divisors (6578582400).

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

2314316160 is a wasteful number, since it uses less digits than its factorization.

2314316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2314316160 is about 48107.3399805061. The cubic root of 2314316160 is about 1322.7392153306.

It can be divided in two parts, 2314316 and 160, that added together give a triangular number (2314476 = T₂₁₅₁).

The spelling of 2314316160 in words is "two billion, three hundred fourteen million, three hundred sixteen thousand, one hundred sixty".