24242311324242 has 96 divisors (see below), whose sum is σ = 57469672218816. Its totient is φ = 7324414243200.

The previous prime is 24242311324211. The next prime is 24242311324249.

24242311324242 is a `hidden beast` number, since 2 + 42 + 42 + 3 + 11 + 324 + 242 = 666.

24242311324242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24242311324197 and 24242311324206.

It is not an unprimeable number, because it can be changed into a prime (24242311324249) 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, 275653017 + ... + 275740947.

It is an arithmetic number, because the mean of its divisors is an integer number (598642418946).

Almost surely, 2^{24242311324242} is an apocalyptic number.

24242311324242 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 24242311324242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28734836109408).

24242311324242 is an abundant number, since it is smaller than the sum of its proper divisors (33227360894574).

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

24242311324242 is a wasteful number, since it uses less digits than its factorization.

24242311324242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92056 (or 92053 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2424231 and 1324242, that added together give a palindrome (3748473).

The spelling of 24242311324242 in words is "twenty-four trillion, two hundred forty-two billion, three hundred eleven million, three hundred twenty-four thousand, two hundred forty-two".