2085500160 has 432 divisors, whose sum is σ = 7989456384. Its totient is φ = 499580928.

The previous prime is 2085500149. The next prime is 2085500257. The reversal of 2085500160 is 610055802.

2085500160 is a `hidden beast` number, since 20 + 85 + 500 + 1 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4504089 + ... + 4504551.

It is an arithmetic number, because the mean of its divisors is an integer number (18494112).

Almost surely, 2^2085500160 is an apocalyptic number.

2085500160 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 2085500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994728192).

2085500160 is an abundant number, since it is smaller than the sum of its proper divisors (5903956224).

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

2085500160 is a wasteful number, since it uses less digits than its factorization.

2085500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2085500160 is about 45667.2766869232. The cubic root of 2085500160 is about 1277.6250231564.

Adding to 2085500160 its reverse (610055802), we get a palindrome (2695555962).

The spelling of 2085500160 in words is "two billion, eighty-five million, five hundred thousand, one hundred sixty".