24243333334242 has 384 divisors, whose sum is σ = 60704302252032. Its totient is φ = 6360438374400.

The previous prime is 24243333334237. The next prime is 24243333334291.

24243333334242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24243333334242² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24243333334194 and 24243333334203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 68677997938 + ... + 68677998290.

It is an arithmetic number, because the mean of its divisors is an integer number (158084120448).

Almost surely, 2^{24243333334242} is an apocalyptic number.

24243333334242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24243333334242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30352151126016).

24243333334242 is an abundant number, since it is smaller than the sum of its proper divisors (36460968917790).

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

24243333334242 is a wasteful number, since it uses less digits than its factorization.

24243333334242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 733 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 42.

It can be divided in two parts, 2424333 and 3334242, that added together give a palindrome (5758575).

The spelling of 24243333334242 in words is "twenty-four trillion, two hundred forty-three billion, three hundred thirty-three million, three hundred thirty-four thousand, two hundred forty-two".