2115616160 has 144 divisors (see below), whose sum is σ = 5836811400. Its totient is φ = 722534400.

The previous prime is 2115616157. The next prime is 2115616183. The reversal of 2115616160 is 616165112.

It can be written as a sum of positive squares in 4 ways, for example, as 2014573456 + 101042704 = 44884^2 + 10052^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3519860 + ... + 3520460.

Almost surely, 2^2115616160 is an apocalyptic number.

2115616160 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 2115616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918405700).

2115616160 is an abundant number, since it is smaller than the sum of its proper divisors (3721195240).

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

2115616160 is a wasteful number, since it uses less digits than its factorization.

2115616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 2115616160 is about 45995.8276368629. The cubic root of 2115616160 is about 1283.7455718804.

The spelling of 2115616160 in words is "two billion, one hundred fifteen million, six hundred sixteen thousand, one hundred sixty".