2240264 has 24 divisors (see below), whose sum is σ = 4551210. Its totient is φ = 1033344.

The previous prime is 2240213. The next prime is 2240267. The reversal of 2240264 is 4620422.

2240264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 917764 + 1322500 = 958^2 + 1150^2 .

2240264 is a modest number, since divided by 264 gives 224 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2240267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 524 + ... + 2180.

2^2240264 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 2240264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275605).

2240264 is an abundant number, since it is smaller than the sum of its proper divisors (2310946).

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

2240264 is a wasteful number, since it uses less digits than its factorization.

2240264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2240264 is about 1496.7511483209. The cubic root of 2240264 is about 130.8477924527.

Adding to 2240264 its reverse (4620422), we get a palindrome (6860686).

The spelling of 2240264 in words is "two million, two hundred forty thousand, two hundred sixty-four".