2129164880 has 20 divisors (see below), whose sum is σ = 4950308532. Its totient is φ = 851665920.

The previous prime is 2129164861. The next prime is 2129164883. The reversal of 2129164880 is 884619212.

It can be written as a sum of positive squares in 2 ways, for example, as 1433682496 + 695482384 = 37864^2 + 26372^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129164883) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13307201 + ... + 13307360.

Almost surely, 2^2129164880 is an apocalyptic number.

2129164880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2129164880 is an abundant number, since it is smaller than the sum of its proper divisors (2821143652).

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

2129164880 is a wasteful number, since it uses less digits than its factorization.

2129164880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26614574 (or 26614568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2129164880 is about 46142.8746395367. The cubic root of 2129164880 is about 1286.4801749748.

The spelling of 2129164880 in words is "two billion, one hundred twenty-nine million, one hundred sixty-four thousand, eight hundred eighty".