2225280 has 128 divisors (see below), whose sum is σ = 7588800. Its totient is φ = 552960.

The previous prime is 2225269. The next prime is 2225323. The reversal of 2225280 is 825222.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36450 + ... + 36510.

2^2225280 is an apocalyptic number.

2225280 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 2225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794400).

2225280 is an abundant number, since it is smaller than the sum of its proper divisors (5363520).

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

2225280 is a wasteful number, since it uses less digits than its factorization.

2225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2225280 is about 1491.7372422783. The cubic root of 2225280 is about 130.5554145833. Note that the first 3 decimals are identical.

The spelling of 2225280 in words is "two million, two hundred twenty-five thousand, two hundred eighty".