2131166160 has 160 divisors (see below), whose sum is σ = 7727184000. Its totient is φ = 538389504.

The previous prime is 2131166159. The next prime is 2131166201. The reversal of 2131166160 is 616611312.

2131166160 is a `hidden beast` number, since 2 + 1 + 31 + 16 + 616 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 15076 + ... + 67004.

It is an arithmetic number, because the mean of its divisors is an integer number (48294900).

Almost surely, 2^2131166160 is an apocalyptic number.

2131166160 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 2131166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863592000).

2131166160 is an abundant number, since it is smaller than the sum of its proper divisors (5596017840).

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

2131166160 is a wasteful number, since it uses less digits than its factorization.

2131166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51970 (or 51958 counting only the distinct ones).

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

The square root of 2131166160 is about 46164.5552345087. Note that the first 3 decimals coincide. The cubic root of 2131166160 is about 1286.8831186882.

Adding to 2131166160 its reverse (616611312), we get a palindrome (2747777472).

The spelling of 2131166160 in words is "two billion, one hundred thirty-one million, one hundred sixty-six thousand, one hundred sixty".