24204844840242 has 128 divisors (see below), whose sum is σ = 56093836953600. Its totient is φ = 6943262230080.

The previous prime is 24204844840213. The next prime is 24204844840259.

24204844840242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24204844840191 and 24204844840200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193701859 + ... + 193826777.

It is an arithmetic number, because the mean of its divisors is an integer number (438233101200).

Almost surely, 2^{24204844840242} is an apocalyptic number.

24204844840242 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 24204844840242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28046918476800).

24204844840242 is an abundant number, since it is smaller than the sum of its proper divisors (31888992113358).

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

24204844840242 is a wasteful number, since it uses less digits than its factorization.

24204844840242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126253 (or 126231 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

The spelling of 24204844840242 in words is "twenty-four trillion, two hundred four billion, eight hundred forty-four million, eight hundred forty thousand, two hundred forty-two".