2000813312 has 72 divisors (see below), whose sum is σ = 4105987200. Its totient is φ = 972603392.

The previous prime is 2000813279. The next prime is 2000813323. The reversal of 2000813312 is 2133180002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2153264 + ... + 2154192.

It is an arithmetic number, because the mean of its divisors is an integer number (57027600).

Almost surely, 2^2000813312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052993600).

2000813312 is an abundant number, since it is smaller than the sum of its proper divisors (2105173888).

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

2000813312 is an equidigital number, since it uses as much as digits as its factorization.

2000813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2000813312 is about 44730.4517303369. The cubic root of 2000813312 is about 1260.0918115680.

Adding to 2000813312 its reverse (2133180002), we get a palindrome (4133993314).

The spelling of 2000813312 in words is "two billion, eight hundred thirteen thousand, three hundred twelve".