2876504400 has 600 divisors, whose sum is σ = 12882074304. Its totient is φ = 597196800.

The previous prime is 2876504399. The next prime is 2876504401. The reversal of 2876504400 is 44056782.

It is an interprime number because it is at equal distance from previous prime (2876504399) and next prime (2876504401).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2876504401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2494224 + ... + 2495376.

Almost surely, 2^2876504400 is an apocalyptic number.

2876504400 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 2876504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441037152).

2876504400 is an abundant number, since it is smaller than the sum of its proper divisors (10005569904).

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

2876504400 is a wasteful number, since it uses less digits than its factorization.

2876504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2876504400 is about 53633.0532414480. The cubic root of 2876504400 is about 1422.1814648512.

The spelling of 2876504400 in words is "two billion, eight hundred seventy-six million, five hundred four thousand, four hundred".