2824085160 has 192 divisors, whose sum is σ = 9987803280. Its totient is φ = 687882240.

The previous prime is 2824085149. The next prime is 2824085167. The reversal of 2824085160 is 615804282.

It can be written as a sum of positive squares in 8 ways, for example, as 111133764 + 2712951396 = 10542^2 + 52086^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2824085167) 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 47 ways as a sum of consecutive naturals, for example, 450850 + ... + 457070.

Almost surely, 2^2824085160 is an apocalyptic number.

2824085160 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 2824085160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993901640).

2824085160 is an abundant number, since it is smaller than the sum of its proper divisors (7163718120).

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

2824085160 is a wasteful number, since it uses less digits than its factorization.

2824085160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2824085160 is about 53142.1222760251. The cubic root of 2824085160 is about 1413.4895309648.

The spelling of 2824085160 in words is "two billion, eight hundred twenty-four million, eighty-five thousand, one hundred sixty".