2876731200 has 756 divisors, whose sum is σ = 12416101152. Its totient is φ = 653184000.

The previous prime is 2876731189. The next prime is 2876731219. The reversal of 2876731200 is 21376782.

2876731200 is a `hidden beast` number, since 287 + 67 + 312 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

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, 19051125 + ... + 19051275.

Almost surely, 2^2876731200 is an apocalyptic number.

2876731200 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 2876731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208050576).

2876731200 is an abundant number, since it is smaller than the sum of its proper divisors (9539369952).

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

2876731200 is a wasteful number, since it uses less digits than its factorization.

2876731200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2876731200 is about 53635.1675675578. The cubic root of 2876731200 is about 1422.2188414995.

The spelling of 2876731200 in words is "two billion, eight hundred seventy-six million, seven hundred thirty-one thousand, two hundred".