2132164160 has 56 divisors (see below), whose sum is σ = 5802538560. Its totient is φ = 731026944.

The previous prime is 2132164103. The next prime is 2132164163. The reversal of 2132164160 is 614612312.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2132164160² = 9092248010377011200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2132164163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473690 + ... + 478169.

It is an arithmetic number, because the mean of its divisors is an integer number (103616760).

Almost surely, 2^2132164160 is an apocalyptic number.

2132164160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132164160 is an abundant number, since it is smaller than the sum of its proper divisors (3670374400).

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

2132164160 is an equidigital number, since it uses as much as digits as its factorization.

2132164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951883 (or 951873 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2132164160 is about 46175.3631279712. The cubic root of 2132164160 is about 1287.0839647404.

Adding to 2132164160 its reverse (614612312), we get a palindrome (2746776472).

The spelling of 2132164160 in words is "two billion, one hundred thirty-two million, one hundred sixty-four thousand, one hundred sixty".