2544 has 20 divisors (see below), whose sum is σ = 6696. Its totient is φ = 832.

The previous prime is 2543. The next prime is 2549. The reversal of 2544 is 4452.

2544 = T_{7} + T_{8} + ... +
T_{24}.

2544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 2544.

It is not an unprimeable number, because it can be changed into a prime (2543) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22 + ... + 74.

2544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348).

2544 is an abundant number, since it is smaller than the sum of its proper divisors (4152).

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

2544 is a wasteful number, since it uses less digits than its factorization.

2544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 58 counting only the distinct ones).

The product of its digits is 160, while the sum is 15.

The square root of 2544 is about 50.4380808517. The cubic root of 2544 is about 13.6512483931.

Adding to 2544 its product of digits (160), we get a square (2704 = 52^{2}).

Adding to 2544 its reverse (4452), we get a palindrome (6996).

The spelling of 2544 in words is "two thousand, five hundred forty-four".

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