2005308160 has 144 divisors (see below), whose sum is σ = 5019017472. Its totient is φ = 766771200.

The previous prime is 2005308143. The next prime is 2005308161. The reversal of 2005308160 is 618035002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005308161) 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 15 ways as a sum of consecutive naturals, for example, 3848700 + ... + 3849220.

It is an arithmetic number, because the mean of its divisors is an integer number (34854288).

Almost surely, 2^2005308160 is an apocalyptic number.

2005308160 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 2005308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509508736).

2005308160 is an abundant number, since it is smaller than the sum of its proper divisors (3013709312).

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

2005308160 is an equidigital number, since it uses as much as digits as its factorization.

2005308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2005308160 is about 44780.6672571993. The cubic root of 2005308160 is about 1261.0347089818.

The spelling of 2005308160 in words is "two billion, five million, three hundred eight thousand, one hundred sixty".