2890488800 has 72 divisors (see below), whose sum is σ = 7110529272. Its totient is φ = 1147328000.

The previous prime is 2890488779. The next prime is 2890488857. The reversal of 2890488800 is 88840982.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91010 + ... + 118590.

It is an arithmetic number, because the mean of its divisors is an integer number (98757351).

Almost surely, 2^2890488800 is an apocalyptic number.

2890488800 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 2890488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555264636).

2890488800 is an abundant number, since it is smaller than the sum of its proper divisors (4220040472).

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

2890488800 is a wasteful number, since it uses less digits than its factorization.

2890488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27732 (or 27719 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 2890488800 is about 53763.2662698240. The cubic root of 2890488800 is about 1424.4824302794.

The spelling of 2890488800 in words is "two billion, eight hundred ninety million, four hundred eighty-eight thousand, eight hundred".