2114831160 has 512 divisors, whose sum is σ = 8089804800. Its totient is φ = 487710720.

The previous prime is 2114831113. The next prime is 2114831183. The reversal of 2114831160 is 611384112.

It is a happy number.

2114831160 is a `hidden beast` number, since 21 + 1 + 483 + 1 + 160 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18715264 + ... + 18715376.

It is an arithmetic number, because the mean of its divisors is an integer number (15800400).

Almost surely, 2^2114831160 is an apocalyptic number.

2114831160 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 2114831160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044902400).

2114831160 is an abundant number, since it is smaller than the sum of its proper divisors (5974973640).

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

2114831160 is a wasteful number, since it uses less digits than its factorization.

2114831160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2114831160 is about 45987.2934624337. The cubic root of 2114831160 is about 1283.5867741805.

The spelling of 2114831160 in words is "two billion, one hundred fourteen million, eight hundred thirty-one thousand, one hundred sixty".