2242368 has 84 divisors (see below), whose sum is σ = 6835140. Its totient is φ = 700416.

The previous prime is 2242363. The next prime is 2242369. The reversal of 2242368 is 8632422.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 304704 = 1392^2 + 552^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9678 + ... + 9906.

2^2242368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417570).

2242368 is an abundant number, since it is smaller than the sum of its proper divisors (4592772).

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

2242368 is a wasteful number, since it uses less digits than its factorization.

2242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2242368 is about 1497.4538390214. The cubic root of 2242368 is about 130.8887426285. Note that the first 3 decimals are identical.

The spelling of 2242368 in words is "two million, two hundred forty-two thousand, three hundred sixty-eight".