2565828 has 36 divisors (see below), whose sum is σ = 6534528. Its totient is φ = 848880.

The previous prime is 2565809. The next prime is 2565847. The reversal of 2565828 is 8285652.

It is an interprime number because it is at equal distance from previous prime (2565809) and next prime (2565847).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2565792 and 2565801.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9333 + ... + 9603.

2^2565828 is an apocalyptic number.

It is an amenable number.

2565828 is an abundant number, since it is smaller than the sum of its proper divisors (3968700).

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

2565828 is a wasteful number, since it uses less digits than its factorization.

2565828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2565828 is about 1601.8202146308. The cubic root of 2565828 is about 136.9018068469.

It can be divided in two parts, 256 and 5828, that added together give a square (6084 = 78²).

The spelling of 2565828 in words is "two million, five hundred sixty-five thousand, eight hundred twenty-eight".