2242080 has 120 divisors (see below), whose sum is σ = 7958412. Its totient is φ = 594432.

The previous prime is 2242073. The next prime is 2242091. The reversal of 2242080 is 802422.

It can be written as a sum of positive squares in 2 ways, for example, as 2178576 + 63504 = 1476^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 12874 + ... + 13046.

2^2242080 is an apocalyptic number.

2242080 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 2242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979206).

2242080 is an abundant number, since it is smaller than the sum of its proper divisors (5716332).

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

2242080 is a wasteful number, since it uses less digits than its factorization.

2242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2242080 is about 1497.3576727022. The cubic root of 2242080 is about 130.8831387948.

It can be divided in two parts, 22420 and 80, that added together give a square (22500 = 150²).

The spelling of 2242080 in words is "two million, two hundred forty-two thousand, eighty".