2085184560 has 160 divisors (see below), whose sum is σ = 6698946240. Its totient is φ = 536166400.

The previous prime is 2085184553. The next prime is 2085184561. The reversal of 2085184560 is 654815802.

It is not an unprimeable number, because it can be changed into a prime (2085184561) 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, 874570 + ... + 876950.

It is an arithmetic number, because the mean of its divisors is an integer number (41868414).

Almost surely, 2^2085184560 is an apocalyptic number.

2085184560 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 2085184560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349473120).

2085184560 is an abundant number, since it is smaller than the sum of its proper divisors (4613761680).

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

2085184560 is a wasteful number, since it uses less digits than its factorization.

2085184560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 2085184560 is about 45663.8211278907. The cubic root of 2085184560 is about 1277.5605719828.

The spelling of 2085184560 in words is "two billion, eighty-five million, one hundred eighty-four thousand, five hundred sixty".