2240327200 has 72 divisors (see below), whose sum is σ = 5504343012. Its totient is φ = 890373120.

The previous prime is 2240327179. The next prime is 2240327203. The reversal of 2240327200 is 27230422.

It can be written as a sum of positive squares in 6 ways, for example, as 1004382864 + 1235944336 = 31692^2 + 35156^2 .

It is not an unprimeable number, because it can be changed into a prime (2240327203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116682 + ... + 134518.

Almost surely, 2^2240327200 is an apocalyptic number.

2240327200 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 2240327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752171506).

2240327200 is an abundant number, since it is smaller than the sum of its proper divisors (3264015812).

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

2240327200 is a wasteful number, since it uses less digits than its factorization.

2240327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18014 (or 18001 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 2240327200 is about 47332.0948194774. The cubic root of 2240327200 is about 1308.4902288842.

Adding to 2240327200 its reverse (27230422), we get a palindrome (2267557622).

The spelling of 2240327200 in words is "two billion, two hundred forty million, three hundred twenty-seven thousand, two hundred".