2878948800 has 630 divisors, whose sum is σ = 12668730568. Its totient is φ = 607426560.

The previous prime is 2878948789. The next prime is 2878948811. The reversal of 2878948800 is 88498782.

2878948800 is a `hidden beast` number, since 2 + 87 + 89 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2878948789) and next prime (2878948811).

It is a tau number, because it is divible by the number of its divisors (630).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 221457594 + ... + 221457606.

Almost surely, 2^2878948800 is an apocalyptic number.

2878948800 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 2878948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334365284).

2878948800 is an abundant number, since it is smaller than the sum of its proper divisors (9789781768).

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

2878948800 is an equidigital number, since it uses as much as digits as its factorization.

2878948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 2878948800 is about 53655.8365883899. The cubic root of 2878948800 is about 1422.5841985902.

The spelling of 2878948800 in words is "two billion, eight hundred seventy-eight million, nine hundred forty-eight thousand, eight hundred".