2588265 has 24 divisors (see below), whose sum is σ = 4534920. Its totient is φ = 1365504.

The previous prime is 2588263. The next prime is 2588269. The reversal of 2588265 is 5628852.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 2518569 = 264^2 + 1587^2 .

It is not a de Polignac number, because 2588265 - 2¹ = 2588263 is a prime.

2588265 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2588263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4831 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

2^2588265 is an apocalyptic number.

It is an amenable number.

2588265 is a deficient number, since it is larger than the sum of its proper divisors (1946655).

2588265 is a wasteful number, since it uses less digits than its factorization.

2588265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 630 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2588265 is about 1608.8085653676. The cubic root of 2588265 is about 137.2996973322.

The spelling of 2588265 in words is "two million, five hundred eighty-eight thousand, two hundred sixty-five".