2085860160 has 140 divisors (see below), whose sum is σ = 7419863748. Its totient is φ = 556222464.

The previous prime is 2085860143. The next prime is 2085860167. The reversal of 2085860160 is 610685802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1017354816 + 1068505344 = 31896^2 + 32688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085860167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14317 + ... + 66156.

Almost surely, 2^2085860160 is an apocalyptic number.

2085860160 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 2085860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709931874).

2085860160 is an abundant number, since it is smaller than the sum of its proper divisors (5334003588).

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

2085860160 is an equidigital number, since it uses as much as digits as its factorization.

2085860160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80502 (or 80483 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2085860160 is about 45671.2180700274. The cubic root of 2085860160 is about 1277.6985336671.

It can be divided in two parts, 20858 and 60160, that added together give a palindrome (81018).

The spelling of 2085860160 in words is "two billion, eighty-five million, eight hundred sixty thousand, one hundred sixty".