24242824242 has 288 divisors, whose sum is σ = 70061846400. Its totient is φ = 5883134976.

The previous prime is 24242824241. The next prime is 24242824267.

24242824242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24242824197 and 24242824206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24242824241) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42605734 + ... + 42606302.

It is an arithmetic number, because the mean of its divisors is an integer number (243270300).

Almost surely, 2^24242824242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24242824242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35030923200).

24242824242 is an abundant number, since it is smaller than the sum of its proper divisors (45819022158).

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

24242824242 is a wasteful number, since it uses less digits than its factorization.

24242824242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 650 counting only the distinct ones).

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

The spelling of 24242824242 in words is "twenty-four billion, two hundred forty-two million, eight hundred twenty-four thousand, two hundred forty-two".