2165117160 has 128 divisors (see below), whose sum is σ = 6695320320. Its totient is φ = 559706112.

The previous prime is 2165117137. The next prime is 2165117173. The reversal of 2165117160 is 617115612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495557 + ... + 1497003.

It is an arithmetic number, because the mean of its divisors is an integer number (52307190).

Almost surely, 2^2165117160 is an apocalyptic number.

2165117160 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 2165117160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347660160).

2165117160 is an abundant number, since it is smaller than the sum of its proper divisors (4530203160).

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

2165117160 is a wasteful number, since it uses less digits than its factorization.

2165117160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 2165117160 is about 46530.8194640928. The cubic root of 2165117160 is about 1293.6808040659.

The spelling of 2165117160 in words is "two billion, one hundred sixty-five million, one hundred seventeen thousand, one hundred sixty".