2881874800 has 120 divisors (see below), whose sum is σ = 7934415776. Its totient is φ = 985374720.

The previous prime is 2881874783. The next prime is 2881874803. The reversal of 2881874800 is 84781882.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2881874803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211212 + ... + 1213588.

Almost surely, 2^2881874800 is an apocalyptic number.

2881874800 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 2881874800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967207888).

2881874800 is an abundant number, since it is smaller than the sum of its proper divisors (5052540976).

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

2881874800 is a wasteful number, since it uses less digits than its factorization.

2881874800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 46.

The square root of 2881874800 is about 53683.0960359031. The cubic root of 2881874800 is about 1423.0659799949.

It can be divided in two parts, 28 and 81874800, that multiplied together give a square (2292494400 = 47880²).

The spelling of 2881874800 in words is "two billion, eight hundred eighty-one million, eight hundred seventy-four thousand, eight hundred".