2592541 has 12 divisors (see below), whose sum is σ = 3044028. Its totient is φ = 2201472.

The previous prime is 2592539. The next prime is 2592547. The reversal of 2592541 is 1452952.

It can be written as a sum of positive squares in 2 ways, for example, as 729316 + 1863225 = 854^2 + 1365^2 .

It is not a de Polignac number, because 2592541 - 2¹ = 2592539 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2592547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7525 + ... + 7861.

It is an arithmetic number, because the mean of its divisors is an integer number (253669).

2^2592541 is an apocalyptic number.

It is an amenable number.

2592541 is a deficient number, since it is larger than the sum of its proper divisors (451487).

2592541 is a wasteful number, since it uses less digits than its factorization.

2592541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 2592541 is about 1610.1369506971. The cubic root of 2592541 is about 137.3752653923.

The spelling of 2592541 in words is "two million, five hundred ninety-two thousand, five hundred forty-one".