2442404042442 has 768 divisors, whose sum is σ = 7313918976000. Its totient is φ = 582814310400.

The previous prime is 2442404042399. The next prime is 2442404042443.

2442404042442 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 4 + 0 + 404 + 244 + 2 = 666.

2442404042442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2442404042397 and 2442404042406.

It is not an unprimeable number, because it can be changed into a prime (2442404042443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5098964359 + ... + 5098964837.

It is an arithmetic number, because the mean of its divisors is an integer number (9523332000).

Almost surely, 2^{2442404042442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442404042442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656959488000).

2442404042442 is an abundant number, since it is smaller than the sum of its proper divisors (4871514933558).

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

2442404042442 is a wasteful number, since it uses less digits than its factorization.

2442404042442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

The spelling of 2442404042442 in words is "two trillion, four hundred forty-two billion, four hundred four million, forty-two thousand, four hundred forty-two".