2582144 has 16 divisors (see below), whose sum is σ = 5144370. Its totient is φ = 1291008.

The previous prime is 2582143. The next prime is 2582149. The reversal of 2582144 is 4412852.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1345600 + 1236544 = 1160^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (2582143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9959 + ... + 10214.

2^2582144 is an apocalyptic number.

It is an amenable number.

2582144 is a deficient number, since it is larger than the sum of its proper divisors (2562226).

2582144 is an equidigital number, since it uses as much as digits as its factorization.

2582144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187 (or 20175 counting only the distinct ones).

The product of its digits is 2560, while the sum is 26.

The square root of 2582144 is about 1606.9050998737. The cubic root of 2582144 is about 137.1913783338.

Adding to 2582144 its reverse (4412852), we get a palindrome (6994996).

The spelling of 2582144 in words is "two million, five hundred eighty-two thousand, one hundred forty-four".