24224842242 has 96 divisors (see below), whose sum is σ = 55058161392. Its totient is φ = 7690401792.

The previous prime is 24224842237. The next prime is 24224842249.

24224842242 is a `hidden beast` number, since 2 + 4 + 224 + 8 + 422 + 4 + 2 = 666.

24224842242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 11988279081 + 12236563161 = 109491^2 + 110619^2 .

It is a junction number, because it is equal to n+sod(n) for n = 24224842197 and 24224842206.

It is not an unprimeable number, because it can be changed into a prime (24224842249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6658848 + ... + 6662484.

Almost surely, 2^24224842242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24224842242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27529080696).

24224842242 is an abundant number, since it is smaller than the sum of its proper divisors (30833319150).

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

24224842242 is a wasteful number, since it uses less digits than its factorization.

24224842242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892 (or 3889 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 24224842242 in words is "twenty-four billion, two hundred twenty-four million, eight hundred forty-two thousand, two hundred forty-two".