2240224400 has 30 divisors (see below), whose sum is σ = 5382140082. Its totient is φ = 896089600.

The previous prime is 2240224397. The next prime is 2240224423. The reversal of 2240224400 is 44220422.

It can be written as a sum of positive squares in 3 ways, for example, as 39488656 + 2200735744 = 6284^2 + 46912^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2799881 + ... + 2800680.

Almost surely, 2^2240224400 is an apocalyptic number.

2240224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240224400 is an abundant number, since it is smaller than the sum of its proper divisors (3141915682).

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

2240224400 is a wasteful number, since it uses less digits than its factorization.

2240224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5600579 (or 5600568 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2240224400 is about 47331.0088631121. The cubic root of 2240224400 is about 1308.4702147165.

Adding to 2240224400 its reverse (44220422), we get a palindrome (2284444822).

The spelling of 2240224400 in words is "two billion, two hundred forty million, two hundred twenty-four thousand, four hundred".