2090800321600 has 189 divisors, whose sum is σ = 5292896300013. Its totient is φ = 812884008960.

The previous prime is 2090800321573. The next prime is 2090800321679. The reversal of 2090800321600 is 61230080902.

The square root of 2090800321600 is 1445960.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6680773696 + 2084119547904 = 81736^2 + 1443648^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2140020312 + ... + 2140021288.

Almost surely, 2^{2090800321600} is an apocalyptic number.

2090800321600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2090800321600 is the 1445960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090800321600

2090800321600 is an abundant number, since it is smaller than the sum of its proper divisors (3202095978413).

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

2090800321600 is an frugal number, since it uses more digits than its factorization.

2090800321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 2090800321600 in words is "two trillion, ninety billion, eight hundred million, three hundred twenty-one thousand, six hundred".