2090505112320 has 288 divisors, whose sum is σ = 7096226683392. Its totient is φ = 522676535296.

The previous prime is 2090505112259. The next prime is 2090505112349. The reversal of 2090505112320 is 232115050902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17107759 + ... + 17229521.

It is an arithmetic number, because the mean of its divisors is an integer number (24639675984).

Almost surely, 2^{2090505112320} is an apocalyptic number.

2090505112320 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 2090505112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548113341696).

2090505112320 is an abundant number, since it is smaller than the sum of its proper divisors (5005721571072).

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

2090505112320 is a wasteful number, since it uses less digits than its factorization.

2090505112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122067 (or 122053 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 2090505112320 in words is "two trillion, ninety billion, five hundred five million, one hundred twelve thousand, three hundred twenty".