2129445972 has 36 divisors (see below), whose sum is σ = 5385400020. Its totient is φ = 709468032.

The previous prime is 2129445953. The next prime is 2129445991. The reversal of 2129445972 is 2795449212.

2129445972 is a `hidden beast` number, since 2 + 12 + 9 + 44 + 597 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2129445953) and next prime (2129445991).

It can be written as a sum of positive squares in 2 ways, for example, as 1856403396 + 273042576 = 43086^2 + 16524^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 66304 + ... + 93032.

It is an arithmetic number, because the mean of its divisors is an integer number (149594445).

Almost surely, 2^2129445972 is an apocalyptic number.

It is an amenable number.

2129445972 is an abundant number, since it is smaller than the sum of its proper divisors (3255954048).

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

2129445972 is a wasteful number, since it uses less digits than its factorization.

2129445972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28952 (or 28947 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2129445972 is about 46145.9204264039. The cubic root of 2129445972 is about 1286.5367861179.

The spelling of 2129445972 in words is "two billion, one hundred twenty-nine million, four hundred forty-five thousand, nine hundred seventy-two".