2829820160 has 36 divisors (see below), whose sum is σ = 6778306668. Its totient is φ = 1131927552.

The previous prime is 2829820141. The next prime is 2829820171. The reversal of 2829820160 is 610289282.

It can be written as a sum of positive squares in 2 ways, for example, as 2184253696 + 645566464 = 46736^2 + 25408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1104119 + ... + 1106678.

Almost surely, 2^2829820160 is an apocalyptic number.

2829820160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2829820160 is an abundant number, since it is smaller than the sum of its proper divisors (3948486508).

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

2829820160 is an equidigital number, since it uses as much as digits as its factorization.

2829820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210818 (or 2210804 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 2829820160 is about 53196.0539889943. The cubic root of 2829820160 is about 1414.4456968099.

The spelling of 2829820160 in words is "two billion, eight hundred twenty-nine million, eight hundred twenty thousand, one hundred sixty".