2090537592000 has 1792 divisors, whose sum is σ = 8463016912896. Its totient is φ = 447897600000.

The previous prime is 2090537591983. The next prime is 2090537592001. The reversal of 2090537592000 is 2957350902.

It is not an unprimeable number, because it can be changed into a prime (2090537592001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12825383919 + ... + 12825384081.

It is an arithmetic number, because the mean of its divisors is an integer number (4722665688).

Almost surely, 2^{2090537592000} is an apocalyptic number.

2090537592000 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 2090537592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231508456448).

2090537592000 is an abundant number, since it is smaller than the sum of its proper divisors (6372479320896).

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

2090537592000 is a wasteful number, since it uses less digits than its factorization.

2090537592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The spelling of 2090537592000 in words is "two trillion, ninety billion, five hundred thirty-seven million, five hundred ninety-two thousand".