2559560 has 32 divisors (see below), whose sum is σ = 5859000. Its totient is φ = 1006080.

The previous prime is 2559553. The next prime is 2559581. The reversal of 2559560 is 659552.

It can be written as a sum of positive squares in 4 ways, for example, as 1909924 + 649636 = 1382^2 + 806^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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, 1916 + ... + 2964.

2^2559560 is an apocalyptic number.

2559560 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 2559560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929500).

2559560 is an abundant number, since it is smaller than the sum of its proper divisors (3299440).

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

2559560 is a wasteful number, since it uses less digits than its factorization.

2559560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 2559560 is about 1599.8624940913. The cubic root of 2559560 is about 136.7902378953.

The spelling of 2559560 in words is "two million, five hundred fifty-nine thousand, five hundred sixty".