2876400 has 180 divisors, whose sum is σ = 10793952. Its totient is φ = 706560.

The previous prime is 2876389. The next prime is 2876411. The reversal of 2876400 is 46782.

It is an interprime number because it is at equal distance from previous prime (2876389) and next prime (2876411).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61177 + ... + 61223.

2^2876400 is an apocalyptic number.

2876400 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 2876400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396976).

2876400 is an abundant number, since it is smaller than the sum of its proper divisors (7917552).

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

2876400 is a wasteful number, since it uses less digits than its factorization.

2876400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2876400 is about 1695.9952830123. The cubic root of 2876400 is about 142.2164259067.

The spelling of 2876400 in words is "two million, eight hundred seventy-six thousand, four hundred".