2624 has 14 divisors (see below), whose sum is σ = 5334. Its totient is φ = 1280.

The previous prime is 2621. The next prime is 2633. The reversal of 2624 is 4262.

2624 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 1600 + 1024 = 40^2 + 32^2 .

2624 is an undulating number in base 9.

It is a plaindrome in base 13.

It is a nialpdrome in base 4, base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2599 and 2608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2621) 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 as a sum of consecutive naturals, namely, 44 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (381).

2²⁶²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667).

2624 is an abundant number, since it is smaller than the sum of its proper divisors (2710).

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

2624 is an equidigital number, since it uses as much as digits as its factorization.

2624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 43 counting only the distinct ones).

The product of its digits is 96, while the sum is 14.

The square root of 2624 is about 51.2249938995. The cubic root of 2624 is about 13.7928689615.

Adding to 2624 its reverse (4262), we get a palindrome (6886).

It can be divided in two parts, 2 and 624, that added together give a palindrome (626).

The spelling of 2624 in words is "two thousand, six hundred twenty-four".