2092449040900 has 243 divisors, whose sum is σ = 4935345303231. Its totient is φ = 769877982720.

The previous prime is 2092449040861. The next prime is 2092449040919. The reversal of 2092449040900 is 90409442902.

The square root of 2092449040900 is 1446530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48944482756 + 2043504558144 = 221234^2 + 1429512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16475976637 + ... + 16475976763.

Almost surely, 2^{2092449040900} is an apocalyptic number.

2092449040900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2092449040900 is the 1446530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092449040900

2092449040900 is an abundant number, since it is smaller than the sum of its proper divisors (2842896262331).

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

2092449040900 is a wasteful number, since it uses less digits than its factorization.

2092449040900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 2092449040900 in words is "two trillion, ninety-two billion, four hundred forty-nine million, forty thousand, nine hundred".