2592 has 30 divisors (see below), whose sum is σ = 7623. Its totient is φ = 864.

The previous prime is 2591. The next prime is 2593. The reversal of 2592 is 2952.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (3!)^{4} ⋅ 2!.

It is an interprime number because it is at equal distance from previous prime (2591) and next prime (2593).

It can be written as a sum of positive squares in only one way, i.e., 1296 + 1296 = 36^2 + 36^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=36.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (180) is a multiple of the sum of its prime divisors (5).

It is a plaindrome in base 13.

It is a nialpdrome in base 6, base 14 and base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2592.

It is not an unprimeable number, because it can be changed into a prime (2591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 863 + 864 + 865.

2592 is a Friedman number, since it can be written as 9^2*2^5, using all its digits and the basic arithmetic operations.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2592

2592 is an abundant number, since it is smaller than the sum of its proper divisors (5031).

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

2592 is an equidigital number, since it uses as much as digits as its factorization.

2592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22 (or 5 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 2592 is about 50.9116882454. The cubic root of 2592 is about 13.7365709106.

Multiplying 2592 by its sum of digits (18), we get a 6-th power (46656 = 6^{6}).

2592 divided by its sum of digits (18) gives a square (144 = 12^{2}).

Adding to 2592 its product of digits (180), we get a palindrome (2772).

The spelling of 2592 in words is "two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592

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