2872958400 has 504 divisors, whose sum is σ = 11177930400. Its totient is φ = 695623680.

The previous prime is 2872958383. The next prime is 2872958411. The reversal of 2872958400 is 48592782.

2872958400 is a `hidden beast` number, since 287 + 295 + 84 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19281526 + ... + 19281674.

Almost surely, 2^2872958400 is an apocalyptic number.

2872958400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2872958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588965200).

2872958400 is an abundant number, since it is smaller than the sum of its proper divisors (8304972000).

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

2872958400 is a wasteful number, since it uses less digits than its factorization.

2872958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2872958400 is about 53599.9850746248. The cubic root of 2872958400 is about 1421.5968282620.

The spelling of 2872958400 in words is "two billion, eight hundred seventy-two million, nine hundred fifty-eight thousand, four hundred".