2160506160 has 120 divisors (see below), whose sum is σ = 7272492864. Its totient is φ = 574801920.

The previous prime is 2160506129. The next prime is 2160506189. The reversal of 2160506160 is 616050612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330120 + ... + 336600.

Almost surely, 2^2160506160 is an apocalyptic number.

2160506160 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 2160506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636246432).

2160506160 is an abundant number, since it is smaller than the sum of its proper divisors (5111986704).

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

2160506160 is a wasteful number, since it uses less digits than its factorization.

2160506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2160506160 is about 46481.2452501006. The cubic root of 2160506160 is about 1292.7617773057.

Adding to 2160506160 its reverse (616050612), we get a palindrome (2776556772).

The spelling of 2160506160 in words is "two billion, one hundred sixty million, five hundred six thousand, one hundred sixty".