2559296000 has 80 divisors (see below), whose sum is σ = 6381924120. Its totient is φ = 1023692800.

The previous prime is 2559295987. The next prime is 2559296011. The reversal of 2559296000 is 6929552.

It can be written as a sum of positive squares in 4 ways, for example, as 357058816 + 2202237184 = 18896^2 + 46928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44006 + ... + 83994.

Almost surely, 2^2559296000 is an apocalyptic number.

2559296000 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 2559296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190962060).

2559296000 is an abundant number, since it is smaller than the sum of its proper divisors (3822628120).

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

2559296000 is an frugal number, since it uses more digits than its factorization.

2559296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40022 (or 39996 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 2559296000 is about 50589.4850734814. The cubic root of 2559296000 is about 1367.8553476087.

The spelling of 2559296000 in words is "two billion, five hundred fifty-nine million, two hundred ninety-six thousand".