2000813472000 has 1296 divisors, whose sum is σ = 8665503865200. Its totient is φ = 441468518400.

The previous prime is 2000813471977. The next prime is 2000813472011. The reversal of 2000813472000 is 2743180002.

It can be written as a sum of positive squares in 8 ways, for example, as 444387557376 + 1556425914624 = 666624^2 + 1247568^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 409245556 + ... + 409250444.

It is an arithmetic number, because the mean of its divisors is an integer number (6686345575).

Almost surely, 2^{2000813472000} is an apocalyptic number.

2000813472000 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 2000813472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332751932600).

2000813472000 is an abundant number, since it is smaller than the sum of its proper divisors (6664690393200).

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

2000813472000 is a wasteful number, since it uses less digits than its factorization.

2000813472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 2000813472000 in words is "two trillion, eight hundred thirteen million, four hundred seventy-two thousand".