2240704200 has 384 divisors, whose sum is σ = 8563737600. Its totient is φ = 473195520.

The previous prime is 2240704199. The next prime is 2240704217. The reversal of 2240704200 is 24070422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3431074 + ... + 3431726.

It is an arithmetic number, because the mean of its divisors is an integer number (22301400).

Almost surely, 2^2240704200 is an apocalyptic number.

2240704200 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 2240704200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281868800).

2240704200 is an abundant number, since it is smaller than the sum of its proper divisors (6323033400).

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

2240704200 is a wasteful number, since it uses less digits than its factorization.

2240704200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 2240704200 is about 47336.0771505202. The cubic root of 2240704200 is about 1308.5636219059.

Adding to 2240704200 its reverse (24070422), we get a palindrome (2264774622).

The spelling of 2240704200 in words is "two billion, two hundred forty million, seven hundred four thousand, two hundred".