2422242624 has 56 divisors (see below), whose sum is σ = 6433352640. Its totient is φ = 804327424.

The previous prime is 2422242617. The next prime is 2422242689. The reversal of 2422242624 is 4262422242.

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 = 2422242591 and 2422242600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26512 + ... + 74480.

Almost surely, 2^2422242624 is an apocalyptic number.

2422242624 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 2422242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216676320).

2422242624 is an abundant number, since it is smaller than the sum of its proper divisors (4011110016).

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

2422242624 is a wasteful number, since it uses less digits than its factorization.

2422242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48247 (or 48237 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 2422242624 is about 49216.2841344204. The cubic root of 2422242624 is about 1342.9892840454.

Adding to 2422242624 its reverse (4262422242), we get a palindrome (6684664866).

The spelling of 2422242624 in words is "two billion, four hundred twenty-two million, two hundred forty-two thousand, six hundred twenty-four".