2583664 has 20 divisors (see below), whose sum is σ = 5168320. Its totient is φ = 1249920.

The previous prime is 2583661. The next prime is 2583667. The reversal of 2583664 is 4663852.

It is a happy number.

2583664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2583661) and next prime (2583667).

2583664 is an admirable number.

It is a d-powerful number, because it can be written as 2¹⁷ + 5 + 8⁷ + 3⁷ + 6⁵ + 6⁷ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2109 + ... + 3100.

It is an arithmetic number, because the mean of its divisors is an integer number (258416).

2^2583664 is an apocalyptic number.

It is an amenable number.

2583664 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2583664 is a wasteful number, since it uses less digits than its factorization.

2583664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5242 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 2583664 is about 1607.3779891488. The cubic root of 2583664 is about 137.2182926591.

The spelling of 2583664 in words is "two million, five hundred eighty-three thousand, six hundred sixty-four".