2872429392 has 240 divisors, whose sum is σ = 8891430912. Its totient is φ = 796481280.

The previous prime is 2872429349. The next prime is 2872429409. The reversal of 2872429392 is 2939242782.

2872429392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2872429392² = 16501701224050979328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17200093 + ... + 17200259.

Almost surely, 2^2872429392 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 2872429392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2872429392 is an abundant number, since it is smaller than the sum of its proper divisors (6019001520).

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

2872429392 is a wasteful number, since it uses less digits than its factorization.

2872429392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 2872429392 is about 53595.0500699458. The cubic root of 2872429392 is about 1421.5095683539.

The spelling of 2872429392 in words is "two billion, eight hundred seventy-two million, four hundred twenty-nine thousand, three hundred ninety-two".