2605520 has 20 divisors (see below), whose sum is σ = 6058020. Its totient is φ = 1042176.

The previous prime is 2605501. The next prime is 2605523. The reversal of 2605520 is 255062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1926544 + 678976 = 1388^2 + 824^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2605492 and 2605501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605523) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16205 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (302901).

2^2605520 is an apocalyptic number.

2605520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2605520 is an abundant number, since it is smaller than the sum of its proper divisors (3452500).

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

2605520 is a wasteful number, since it uses less digits than its factorization.

2605520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32582 (or 32576 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 2605520 is about 1614.1623214535. The cubic root of 2605520 is about 137.6041304872.

It can be divided in two parts, 2605 and 520, that added together give a 5-th power (3125 = 5⁵).

The spelling of 2605520 in words is "two million, six hundred five thousand, five hundred twenty".