2442442224 has 80 divisors (see below), whose sum is σ = 6861444768. Its totient is φ = 745537536.

The previous prime is 2442442217. The next prime is 2442442231. The reversal of 2442442224 is 4222442442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2442442217) and next prime (2442442231).

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 = 2442442191 and 2442442200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10257 + ... + 70640.

Almost surely, 2^2442442224 is an apocalyptic number.

2442442224 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 2442442224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430722384).

2442442224 is an abundant number, since it is smaller than the sum of its proper divisors (4419002544).

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

2442442224 is a wasteful number, since it uses less digits than its factorization.

2442442224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80962 (or 80956 counting only the distinct ones).

The product of its digits is 32768, while the sum is 30.

The square root of 2442442224 is about 49421.0706480546. The cubic root of 2442442224 is about 1346.7121130738.

Adding to 2442442224 its reverse (4222442442), we get a palindrome (6664884666).

The spelling of 2442442224 in words is "two billion, four hundred forty-two million, four hundred forty-two thousand, two hundred twenty-four".