2225920 has 72 divisors (see below), whose sum is σ = 5592384. Its totient is φ = 847872.

The previous prime is 2225887. The next prime is 2225959. The reversal of 2225920 is 295222.

It is a junction number, because it is equal to n+sod(n) for n = 2225891 and 2225900.

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, 47337 + ... + 47383.

It is an arithmetic number, because the mean of its divisors is an integer number (77672).

2^2225920 is an apocalyptic number.

2225920 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 2225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796192).

2225920 is an abundant number, since it is smaller than the sum of its proper divisors (3366464).

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

2225920 is an equidigital number, since it uses as much as digits as its factorization.

2225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2225920 is about 1491.9517418469. The cubic root of 2225920 is about 130.5679294812.

The spelling of 2225920 in words is "two million, two hundred twenty-five thousand, nine hundred twenty".