2090394484080 has 1280 divisors, whose sum is σ = 8207474688000. Its totient is φ = 438533222400.

The previous prime is 2090394484069. The next prime is 2090394484111. The reversal of 2090394484080 is 804844930902.

It is a super-3 number, since 3×2090394484080³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12517332157 + ... + 12517332323.

It is an arithmetic number, because the mean of its divisors is an integer number (6412089600).

Almost surely, 2^{2090394484080} is an apocalyptic number.

2090394484080 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 2090394484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103737344000).

2090394484080 is an abundant number, since it is smaller than the sum of its proper divisors (6117080203920).

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

2090394484080 is a wasteful number, since it uses less digits than its factorization.

2090394484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 2090394484080 in words is "two trillion, ninety billion, three hundred ninety-four million, four hundred eighty-four thousand, eighty".