2560096800 has 576 divisors, whose sum is σ = 9880617600. Its totient is φ = 638668800.

The previous prime is 2560096783. The next prime is 2560096813. The reversal of 2560096800 is 86900652.

2560096800 is a `hidden beast` number, since 2 + 560 + 0 + 96 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38210367 + ... + 38210433.

It is an arithmetic number, because the mean of its divisors is an integer number (17153850).

Almost surely, 2^2560096800 is an apocalyptic number.

2560096800 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 2560096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940308800).

2560096800 is an abundant number, since it is smaller than the sum of its proper divisors (7320520800).

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

2560096800 is a wasteful number, since it uses less digits than its factorization.

2560096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2560096800 is about 50597.3991426437. The cubic root of 2560096800 is about 1367.9979993815.

The spelling of 2560096800 in words is "two billion, five hundred sixty million, ninety-six thousand, eight hundred".