2879024400 has 540 divisors, whose sum is σ = 12248137200. Its totient is φ = 622702080.

The previous prime is 2879024383. The next prime is 2879024431. The reversal of 2879024400 is 44209782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3351171 + ... + 3352029.

Almost surely, 2^2879024400 is an apocalyptic number.

2879024400 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 2879024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124068600).

2879024400 is an abundant number, since it is smaller than the sum of its proper divisors (9369112800).

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

2879024400 is a wasteful number, since it uses less digits than its factorization.

2879024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2879024400 is about 53656.5410737591. The cubic root of 2879024400 is about 1422.5966506380.

The spelling of 2879024400 in words is "two billion, eight hundred seventy-nine million, twenty-four thousand, four hundred".