2585538 has 18 divisors (see below), whose sum is σ = 5616819. Its totient is φ = 859572.

The previous prime is 2585521. The next prime is 2585549. The reversal of 2585538 is 8355852.

It can be written as a sum of positive squares in only one way, i.e., 1292769 + 1292769 = 1137^2 + 1137^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1137.

It is an Ulam number.

Its product of digits (48000) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6633 + ... + 7011.

2^2585538 is an apocalyptic number.

2585538 is an abundant number, since it is smaller than the sum of its proper divisors (3031281).

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

2585538 is an equidigital number, since it uses as much as digits as its factorization.

2585538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 384 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 2585538 is about 1607.9608204182. The cubic root of 2585538 is about 137.2514606631.

The spelling of 2585538 in words is "two million, five hundred eighty-five thousand, five hundred thirty-eight".