2876918400 has 288 divisors, whose sum is σ = 10338981120. Its totient is φ = 761702400.

The previous prime is 2876918351. The next prime is 2876918413. The reversal of 2876918400 is 48196782.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5500539 + ... + 5501061.

It is an arithmetic number, because the mean of its divisors is an integer number (35899240).

Almost surely, 2^2876918400 is an apocalyptic number.

2876918400 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 2876918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169490560).

2876918400 is an abundant number, since it is smaller than the sum of its proper divisors (7462062720).

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

2876918400 is a wasteful number, since it uses less digits than its factorization.

2876918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2876918400 is about 53636.9126628295. The cubic root of 2876918400 is about 1422.2496905864.

The spelling of 2876918400 in words is "two billion, eight hundred seventy-six million, nine hundred eighteen thousand, four hundred".