2598560 has 48 divisors (see below), whose sum is σ = 6237000. Its totient is φ = 1022976.

The previous prime is 2598553. The next prime is 2598571. The reversal of 2598560 is 658952.

It can be written as a sum of positive squares in 4 ways, for example, as 1817104 + 781456 = 1348^2 + 884^2 .

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 2598560.

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, 17366 + ... + 17514.

2^2598560 is an apocalyptic number.

2598560 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 2598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118500).

2598560 is an abundant number, since it is smaller than the sum of its proper divisors (3638440).

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

2598560 is a wasteful number, since it uses less digits than its factorization.

2598560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 2598560 is about 1612.0049627715. The cubic root of 2598560 is about 137.4814961326.

The spelling of 2598560 in words is "two million, five hundred ninety-eight thousand, five hundred sixty".