2596560 has 80 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 668160.

The previous prime is 2596553. The next prime is 2596577. The reversal of 2596560 is 656952.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7266 + ... + 7614.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^2596560 is an apocalyptic number.

2596560 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 2596560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2596560 is an abundant number, since it is smaller than the sum of its proper divisors (5736240).

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

2596560 is a wasteful number, since it uses less digits than its factorization.

2596560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 2596560 is about 1611.3844978775. The cubic root of 2596560 is about 137.4462158793.

The spelling of 2596560 in words is "two million, five hundred ninety-six thousand, five hundred sixty".