2314160000 has 80 divisors (see below), whose sum is σ = 5761155840. Its totient is φ = 925632000.

The previous prime is 2314159997. The next prime is 2314160027. The reversal of 2314160000 is 614132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65537 + ... + 94463.

It is an arithmetic number, because the mean of its divisors is an integer number (72014448).

Almost surely, 2^2314160000 is an apocalyptic number.

2314160000 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 2314160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880577920).

2314160000 is an abundant number, since it is smaller than the sum of its proper divisors (3446995840).

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

2314160000 is an frugal number, since it uses more digits than its factorization.

2314160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28961 (or 28934 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2314160000 is about 48105.7169159758. The cubic root of 2314160000 is about 1322.7094637629.

Adding to 2314160000 its reverse (614132), we get a palindrome (2314774132).

The spelling of 2314160000 in words is "two billion, three hundred fourteen million, one hundred sixty thousand".