2116316160 has 484 divisors, whose sum is σ = 8702828688. Its totient is φ = 483729408.

The previous prime is 2116316149. The next prime is 2116316183. The reversal of 2116316160 is 616136112.

2116316160 is a `hidden beast` number, since 2 + 1 + 16 + 31 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 302330877 + ... + 302330883.

Almost surely, 2^2116316160 is an apocalyptic number.

2116316160 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 2116316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351414344).

2116316160 is an abundant number, since it is smaller than the sum of its proper divisors (6586512528).

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

2116316160 is an frugal number, since it uses more digits than its factorization.

2116316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2116316160 is about 46003.4363933826. The cubic root of 2116316160 is about 1283.8871417968.

The spelling of 2116316160 in words is "two billion, one hundred sixteen million, three hundred sixteen thousand, one hundred sixty".