2878886400 has 480 divisors, whose sum is σ = 10513493760. Its totient is φ = 690094080.

The previous prime is 2878886371. The next prime is 2878886411. The reversal of 2878886400 is 46888782.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36441561 + ... + 36441639.

It is an arithmetic number, because the mean of its divisors is an integer number (21903112).

Almost surely, 2^2878886400 is an apocalyptic number.

2878886400 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 2878886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256746880).

2878886400 is an abundant number, since it is smaller than the sum of its proper divisors (7634607360).

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

2878886400 is a wasteful number, since it uses less digits than its factorization.

2878886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 51.

The square root of 2878886400 is about 53655.2551014344. The cubic root of 2878886400 is about 1422.5739205452.

The spelling of 2878886400 in words is "two billion, eight hundred seventy-eight million, eight hundred eighty-six thousand, four hundred".