24324642342 has 576 divisors, whose sum is σ = 76294213632. Its totient is φ = 5440089600.

The previous prime is 24324642281. The next prime is 24324642451.

24324642342 is a `hidden beast` number, since 2 + 4 + 3 + 2 + 4 + 642 + 3 + 4 + 2 = 666.

24324642342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24324642297 and 24324642306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 227333053 + ... + 227333159.

It is an arithmetic number, because the mean of its divisors is an integer number (132455232).

Almost surely, 2^24324642342 is an apocalyptic number.

24324642342 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 24324642342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38147106816).

24324642342 is an abundant number, since it is smaller than the sum of its proper divisors (51969571290).

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

24324642342 is a wasteful number, since it uses less digits than its factorization.

24324642342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its digits is 221184, while the sum is 36.

It can be divided in two parts, 24324 and 642342, that added together give a palindrome (666666).

The spelling of 24324642342 in words is "twenty-four billion, three hundred twenty-four million, six hundred forty-two thousand, three hundred forty-two".