2565220 has 48 divisors (see below), whose sum is σ = 6265728. Its totient is φ = 864000.

The previous prime is 2565203. The next prime is 2565221. The reversal of 2565220 is 225652.

It is a junction number, because it is equal to n+sod(n) for n = 2565191 and 2565200.

It is not an unprimeable number, because it can be changed into a prime (2565221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10095 + ... + 10345.

It is an arithmetic number, because the mean of its divisors is an integer number (130536).

2^2565220 is an apocalyptic number.

2565220 is a gapful number since it is divisible by the number (20) 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 2565220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132864).

2565220 is an abundant number, since it is smaller than the sum of its proper divisors (3700508).

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

2565220 is a wasteful number, since it uses less digits than its factorization.

2565220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2565220 is about 1601.6304192915. The cubic root of 2565220 is about 136.8909925504.

It can be divided in two parts, 256 and 5220, that added together give a square (5476 = 74²).

The spelling of 2565220 in words is "two million, five hundred sixty-five thousand, two hundred twenty".