2881804800 has 480 divisors, whose sum is σ = 11106146304. Its totient is φ = 645120000.

The previous prime is 2881804787. The next prime is 2881804819. The reversal of 2881804800 is 84081882.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19084725 + ... + 19084875.

Almost surely, 2^2881804800 is an apocalyptic number.

2881804800 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 2881804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553073152).

2881804800 is an abundant number, since it is smaller than the sum of its proper divisors (8224341504).

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

2881804800 is a wasteful number, since it uses less digits than its factorization.

2881804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 2881804800 is about 53682.4440576246. Note that the first 3 decimals coincide. The cubic root of 2881804800 is about 1423.0544579323.

The spelling of 2881804800 in words is "two billion, eight hundred eighty-one million, eight hundred four thousand, eight hundred".