2314031016960 has 440 divisors, whose sum is σ = 8930059542096. Its totient is φ = 569606307840.

The previous prime is 2314031016953. The next prime is 2314031016961. The reversal of 2314031016960 is 696101304132.

2314031016960 is a `hidden beast` number, since 2 + 31 + 403 + 1 + 0 + 169 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2314031016961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5176755 + ... + 5605965.

Almost surely, 2^{2314031016960} is an apocalyptic number.

2314031016960 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 2314031016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465029771048).

2314031016960 is an abundant number, since it is smaller than the sum of its proper divisors (6616028525136).

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

2314031016960 is a wasteful number, since it uses less digits than its factorization.

2314031016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429261 (or 429234 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 2314031016960 in words is "two trillion, three hundred fourteen billion, thirty-one million, sixteen thousand, nine hundred sixty".