2242433424 has 160 divisors (see below), whose sum is σ = 7240965120. Its totient is φ = 580953600.

The previous prime is 2242433393. The next prime is 2242433443. The reversal of 2242433424 is 4243342422.

It is a super-2 number, since 2×2242433424² = 10057015322144727552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2242433391 and 2242433400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730934 + ... + 2731754.

It is an arithmetic number, because the mean of its divisors is an integer number (45256032).

Almost surely, 2^2242433424 is an apocalyptic number.

2242433424 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 2242433424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3620482560).

2242433424 is an abundant number, since it is smaller than the sum of its proper divisors (4998531696).

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

2242433424 is a wasteful number, since it uses less digits than its factorization.

2242433424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 2242433424 is about 47354.3390197773. The cubic root of 2242433424 is about 1308.9001556584.

Adding to 2242433424 its reverse (4243342422), we get a palindrome (6485775846).

The spelling of 2242433424 in words is "two billion, two hundred forty-two million, four hundred thirty-three thousand, four hundred twenty-four".