2565630 has 48 divisors (see below), whose sum is σ = 6907680. Its totient is φ = 659904.

The previous prime is 2565611. The next prime is 2565643. The reversal of 2565630 is 365652.

2565630 is a `hidden beast` number, since 2 + 5 + 656 + 3 + 0 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2565594 and 2565603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2119 + ... + 3101.

It is an arithmetic number, because the mean of its divisors is an integer number (143910).

2^2565630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2565630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453840).

2565630 is an abundant number, since it is smaller than the sum of its proper divisors (4342050).

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

2565630 is a wasteful number, since it uses less digits than its factorization.

2565630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2565630 is about 1601.7584087496. The cubic root of 2565630 is about 136.8982852735.

It can be divided in two parts, 256 and 5630, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 2565630 in words is "two million, five hundred sixty-five thousand, six hundred thirty".