2225580 has 72 divisors (see below), whose sum is σ = 7258608. Its totient is φ = 508032.

The previous prime is 2225579. The next prime is 2225581. The reversal of 2225580 is 855222.

2225580 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2225579) and next prime (2225581).

2225580 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2225580.

It is not an unprimeable number, because it can be changed into a prime (2225581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2562 + ... + 3318.

It is an arithmetic number, because the mean of its divisors is an integer number (100814).

2^2225580 is an apocalyptic number.

2225580 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 2225580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629304).

2225580 is an abundant number, since it is smaller than the sum of its proper divisors (5033028).

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

2225580 is a wasteful number, since it uses less digits than its factorization.

2225580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2225580 is about 1491.8377927912. The cubic root of 2225580 is about 130.5612812404.

The spelling of 2225580 in words is "two million, two hundred twenty-five thousand, five hundred eighty".