2129664672 has 144 divisors (see below), whose sum is σ = 6162156000. Its totient is φ = 697600512.

The previous prime is 2129664631. The next prime is 2129664673. The reversal of 2129664672 is 2764669212.

2129664672 is a `hidden beast` number, since 2 + 129 + 66 + 467 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (435456) is a multiple of the sum of its prime divisors (672).

It is not an unprimeable number, because it can be changed into a prime (2129664673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5618979 + ... + 5619357.

It is an arithmetic number, because the mean of its divisors is an integer number (42792750).

Almost surely, 2^2129664672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081078000).

2129664672 is an abundant number, since it is smaller than the sum of its proper divisors (4032491328).

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

2129664672 is a wasteful number, since it uses less digits than its factorization.

2129664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 672 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 2129664672 is about 46148.2900224916. The cubic root of 2129664672 is about 1286.5808282407.

The spelling of 2129664672 in words is "two billion, one hundred twenty-nine million, six hundred sixty-four thousand, six hundred seventy-two".