2565624 has 32 divisors (see below), whose sum is σ = 6538320. Its totient is φ = 838656.

The previous prime is 2565611. The next prime is 2565643. The reversal of 2565624 is 4265652.

It is a d-powerful number, because it can be written as 2¹¹ + 5⁷ + 6 + 5⁹ + 6⁵ + 2¹⁹ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 2565591 and 2565600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264 + ... + 2280.

2^2565624 is an apocalyptic number.

2565624 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 2565624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269160).

2565624 is an abundant number, since it is smaller than the sum of its proper divisors (3972696).

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

2565624 is a wasteful number, since it uses less digits than its factorization.

2565624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2075 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 2565624 is about 1601.7565358069. The cubic root of 2565624 is about 136.8981785563.

The spelling of 2565624 in words is "two million, five hundred sixty-five thousand, six hundred twenty-four".