2589520 has 20 divisors (see below), whose sum is σ = 6020820. Its totient is φ = 1035776.

The previous prime is 2589487. The next prime is 2589533. The reversal of 2589520 is 259852.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 446224 + 2143296 = 668^2 + 1464^2 .

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

It is a super-2 number, since 2×2589520² = 13411227660800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16105 + ... + 16264.

It is an arithmetic number, because the mean of its divisors is an integer number (301041).

2^2589520 is an apocalyptic number.

2589520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2589520 is an abundant number, since it is smaller than the sum of its proper divisors (3431300).

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

2589520 is a wasteful number, since it uses less digits than its factorization.

2589520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32382 (or 32376 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 2589520 is about 1609.1985582892. The cubic root of 2589520 is about 137.3218850754.

The spelling of 2589520 in words is "two million, five hundred eighty-nine thousand, five hundred twenty".