2022400033104 has 320 divisors, whose sum is σ = 5977163508480. Its totient is φ = 583618560000.

The previous prime is 2022400033063. The next prime is 2022400033151. The reversal of 2022400033104 is 4013300042202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428381464 + ... + 428386184.

It is an arithmetic number, because the mean of its divisors is an integer number (18678635964).

Almost surely, 2^{2022400033104} is an apocalyptic number.

2022400033104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022400033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988581754240).

2022400033104 is an abundant number, since it is smaller than the sum of its proper divisors (3954763475376).

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

2022400033104 is a wasteful number, since it uses less digits than its factorization.

2022400033104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 2022400033104 its reverse (4013300042202), we get a palindrome (6035700075306).

The spelling of 2022400033104 in words is "two trillion, twenty-two billion, four hundred million, thirty-three thousand, one hundred four".