2042233240404 has 288 divisors, whose sum is σ = 5867176896000. Its totient is φ = 550473670656.

The previous prime is 2042233240403. The next prime is 2042233240441. The reversal of 2042233240404 is 4040423322402.

It is a super-2 number, since 2×2042233240404² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042233240403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130661662 + ... + 130677290.

It is an arithmetic number, because the mean of its divisors is an integer number (20372142000).

Almost surely, 2^{2042233240404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042233240404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933588448000).

2042233240404 is an abundant number, since it is smaller than the sum of its proper divisors (3824943655596).

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

2042233240404 is a wasteful number, since it uses less digits than its factorization.

2042233240404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15855 (or 15846 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 2042233240404 its reverse (4040423322402), we get a palindrome (6082656562806).

The spelling of 2042233240404 in words is "two trillion, forty-two billion, two hundred thirty-three million, two hundred forty thousand, four hundred four".