2561624 has 16 divisors (see below), whose sum is σ = 5172720. Its totient is φ = 1182240.

The previous prime is 2561593. The next prime is 2561627. The reversal of 2561624 is 4261652.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an Ulam number.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2561593 and 2561602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561627) 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, 12212 + ... + 12419.

It is an arithmetic number, because the mean of its divisors is an integer number (323295).

2^2561624 is an apocalyptic number.

It is an amenable number.

2561624 is an abundant number, since it is smaller than the sum of its proper divisors (2611096).

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

2561624 is a wasteful number, since it uses less digits than its factorization.

2561624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24650 (or 24646 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 2561624 is about 1600.5074195392. The cubic root of 2561624 is about 136.8269967125.

The spelling of 2561624 in words is "two million, five hundred sixty-one thousand, six hundred twenty-four".