2240332224 has 112 divisors (see below), whose sum is σ = 6425293728. Its totient is φ = 684822528.

The previous prime is 2240332223. The next prime is 2240332229. The reversal of 2240332224 is 4222330422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2240332194 and 2240332203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240332223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389014 + ... + 394730.

It is an arithmetic number, because the mean of its divisors is an integer number (57368694).

Almost surely, 2^2240332224 is an apocalyptic number.

2240332224 is a gapful number since it is divisible by the number (24) 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 2240332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212646864).

2240332224 is an abundant number, since it is smaller than the sum of its proper divisors (4184961504).

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

2240332224 is a wasteful number, since it uses less digits than its factorization.

2240332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2240332224 is about 47332.1478912589. The cubic root of 2240332224 is about 1308.4912069929.

Adding to 2240332224 its reverse (4222330422), we get a palindrome (6462662646).

The spelling of 2240332224 in words is "two billion, two hundred forty million, three hundred thirty-two thousand, two hundred twenty-four".