2085523160 has 128 divisors (see below), whose sum is σ = 5649177600. Its totient is φ = 677445120.

The previous prime is 2085523157. The next prime is 2085523199. The reversal of 2085523160 is 613255802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700475 + ... + 703445.

It is an arithmetic number, because the mean of its divisors is an integer number (44134200).

Almost surely, 2^2085523160 is an apocalyptic number.

2085523160 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 2085523160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824588800).

2085523160 is an abundant number, since it is smaller than the sum of its proper divisors (3563654440).

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

2085523160 is a wasteful number, since it uses less digits than its factorization.

2085523160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2085523160 is about 45667.5285076826. The cubic root of 2085523160 is about 1277.6297199142.

Adding to 2085523160 its reverse (613255802), we get a palindrome (2698778962).

The spelling of 2085523160 in words is "two billion, eighty-five million, five hundred twenty-three thousand, one hundred sixty".