1872933264 has 120 divisors (see below), whose sum is σ = 5396976000. Its totient is φ = 606078720.

The previous prime is 1872933253. The next prime is 1872933281. The reversal of 1872933264 is 4623392781.

It is a super-2 number, since 2×1872933264² = 7015758022795387392, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692587 + ... + 695285.

It is an arithmetic number, because the mean of its divisors is an integer number (44974800).

Almost surely, 2^1872933264 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 1872933264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698488000).

1872933264 is an abundant number, since it is smaller than the sum of its proper divisors (3524042736).

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

1872933264 is a wasteful number, since it uses less digits than its factorization.

1872933264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2844 counting only the distinct ones).

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

The square root of 1872933264 is about 43277.3989976292. The cubic root of 1872933264 is about 1232.6528031059.

The spelling of 1872933264 in words is "one billion, eight hundred seventy-two million, nine hundred thirty-three thousand, two hundred sixty-four".