2089940160 has 448 divisors, whose sum is σ = 8456371200. Its totient is φ = 433520640.

The previous prime is 2089940147. The next prime is 2089940183. The reversal of 2089940160 is 610499802.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3621792 + ... + 3622368.

Almost surely, 2^2089940160 is an apocalyptic number.

2089940160 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 2089940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228185600).

2089940160 is an abundant number, since it is smaller than the sum of its proper divisors (6366431040).

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

2089940160 is a wasteful number, since it uses less digits than its factorization.

2089940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 2089940160 is about 45715.8633299208. The cubic root of 2089940160 is about 1278.5310622766.

It can be divided in two parts, 2089 and 940160, that added together give a palindrome (942249).

The spelling of 2089940160 in words is "two billion, eighty-nine million, nine hundred forty thousand, one hundred sixty".