2092233105408 has 448 divisors, whose sum is σ = 5911374349440. Its totient is φ = 657255825408.

The previous prime is 2092233105401. The next prime is 2092233105433. The reversal of 2092233105408 is 8045013322902.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2092233105401) 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 31 ways as a sum of consecutive naturals, for example, 6684450660 + ... + 6684450972.

It is an arithmetic number, because the mean of its divisors is an integer number (13195032030).

Almost surely, 2^{2092233105408} 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 2092233105408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955687174720).

2092233105408 is an abundant number, since it is smaller than the sum of its proper divisors (3819141244032).

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

2092233105408 is a wasteful number, since it uses less digits than its factorization.

2092233105408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 2092233105408 in words is "two trillion, ninety-two billion, two hundred thirty-three million, one hundred five thousand, four hundred eight".