2242560 has 96 divisors (see below), whose sum is σ = 7272720. Its totient is φ = 589824.

The previous prime is 2242549. The next prime is 2242651. The reversal of 2242560 is 652422.

2242560 = 138² + 139² + ... + 210².

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30684 + ... + 30756.

2^2242560 is an apocalyptic number.

2242560 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 2242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636360).

2242560 is an abundant number, since it is smaller than the sum of its proper divisors (5030160).

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

2242560 is an equidigital number, since it uses as much as digits as its factorization.

2242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2242560 is about 1497.5179464701. The cubic root of 2242560 is about 130.8924782511.

Adding to 2242560 its reverse (652422), we get a palindrome (2894982).

The spelling of 2242560 in words is "two million, two hundred forty-two thousand, five hundred sixty".