2000800512 has 216 divisors, whose sum is σ = 6032906880. Its totient is φ = 637009920.

The previous prime is 2000800511. The next prime is 2000800513. The reversal of 2000800512 is 2150080002.

It is an interprime number because it is at equal distance from previous prime (2000800511) and next prime (2000800513).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2000800511) 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 23 ways as a sum of consecutive naturals, for example, 7785088 + ... + 7785344.

Almost surely, 2^2000800512 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 2000800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016453440).

2000800512 is an abundant number, since it is smaller than the sum of its proper divisors (4032106368).

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

2000800512 is a wasteful number, since it uses less digits than its factorization.

2000800512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2000800512 is about 44730.3086508466. The cubic root of 2000800512 is about 1260.0891244592.

Adding to 2000800512 its reverse (2150080002), we get a palindrome (4150880514).

The spelling of 2000800512 in words is "two billion, eight hundred thousand, five hundred twelve".