2085308160 has 288 divisors, whose sum is σ = 7372626240. Its totient is φ = 498991104.

The previous prime is 2085308131. The next prime is 2085308167. The reversal of 2085308160 is 618035802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085308167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1846476 + ... + 1847604.

Almost surely, 2^2085308160 is an apocalyptic number.

2085308160 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 2085308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686313120).

2085308160 is an abundant number, since it is smaller than the sum of its proper divisors (5287318080).

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

2085308160 is a wasteful number, since it uses less digits than its factorization.

2085308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 2085308160 is about 45665.1744768374. The cubic root of 2085308160 is about 1277.5858140916.

The spelling of 2085308160 in words is "two billion, eighty-five million, three hundred eight thousand, one hundred sixty".