2242880 has 56 divisors (see below), whose sum is σ = 5498592. Its totient is φ = 870912.

The previous prime is 2242879. The next prime is 2242883. The reversal of 2242880 is 882422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13679 + ... + 13841.

2^2242880 is an apocalyptic number.

2242880 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 2242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749296).

2242880 is an abundant number, since it is smaller than the sum of its proper divisors (3255712).

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

2242880 is a wasteful number, since it uses less digits than its factorization.

2242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 2242880 is about 1497.6247861197. The cubic root of 2242880 is about 130.8987038148.

The spelling of 2242880 in words is "two million, two hundred forty-two thousand, eight hundred eighty".