2888256000 has 480 divisors, whose sum is σ = 11206907712. Its totient is φ = 658022400.

The previous prime is 2888255983. The next prime is 2888256013. The reversal of 2888256000 is 6528882.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2888256000.

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, 9407847 + ... + 9408153.

Almost surely, 2^2888256000 is an apocalyptic number.

2888256000 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 2888256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603453856).

2888256000 is an abundant number, since it is smaller than the sum of its proper divisors (8318651712).

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

2888256000 is an equidigital number, since it uses as much as digits as its factorization.

2888256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2888256000 is about 53742.4971507651. The cubic root of 2888256000 is about 1424.1155484237.

The spelling of 2888256000 in words is "two billion, eight hundred eighty-eight million, two hundred fifty-six thousand".