2092204334400 has 1344 divisors, whose sum is σ = 7993956925440. Its totient is φ = 475545600000.

The previous prime is 2092204334377. The next prime is 2092204334411. The reversal of 2092204334400 is 44334022902.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4854302185 + ... + 4854302615.

Almost surely, 2^{2092204334400} is an apocalyptic number.

2092204334400 is a gapful number since it is divisible by the number (20) 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 2092204334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996978462720).

2092204334400 is an abundant number, since it is smaller than the sum of its proper divisors (5901752591040).

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

2092204334400 is a wasteful number, since it uses less digits than its factorization.

2092204334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 2092204334400 in words is "two trillion, ninety-two billion, two hundred four million, three hundred thirty-four thousand, four hundred".