2605760 has 56 divisors (see below), whose sum is σ = 6583680. Its totient is φ = 978944.

The previous prime is 2605753. The next prime is 2605763. The reversal of 2605760 is 675062.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2605763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5201 + ... + 5679.

2^2605760 is an apocalyptic number.

2605760 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 2605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291840).

2605760 is an abundant number, since it is smaller than the sum of its proper divisors (3977920).

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

2605760 is a wasteful number, since it uses less digits than its factorization.

2605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 2605760 is about 1614.2366617073. The cubic root of 2605760 is about 137.6083553607.

The spelling of 2605760 in words is "two million, six hundred five thousand, seven hundred sixty".