24542224542 has 108 divisors (see below), whose sum is σ = 60078033288. Its totient is φ = 7235157600.

The previous prime is 24542224541. The next prime is 24542224549.

24542224542 is a `hidden beast` number, since 24 + 54 + 22 + 24 + 542 = 666.

24542224542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24542224497 and 24542224506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24542224541) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2977567 + ... + 2985797.

It is an arithmetic number, because the mean of its divisors is an integer number (556278086).

Almost surely, 2^24542224542 is an apocalyptic number.

24542224542 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 24542224542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30039016644).

24542224542 is an abundant number, since it is smaller than the sum of its proper divisors (35535808746).

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

24542224542 is a wasteful number, since it uses less digits than its factorization.

24542224542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8284 counting only the distinct ones).

The product of its digits is 204800, while the sum is 36.

The spelling of 24542224542 in words is "twenty-four billion, five hundred forty-two million, two hundred twenty-four thousand, five hundred forty-two".