2000466810720 has 1440 divisors, whose sum is σ = 8880501057120. Its totient is φ = 421382062080.

The previous prime is 2000466810707. The next prime is 2000466810721. The reversal of 2000466810720 is 270186640002.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000466810721) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 446430880 + ... + 446435360.

It is an arithmetic number, because the mean of its divisors is an integer number (6167014623).

Almost surely, 2^{2000466810720} is an apocalyptic number.

2000466810720 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 2000466810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4440250528560).

2000466810720 is an abundant number, since it is smaller than the sum of its proper divisors (6880034246400).

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

2000466810720 is a wasteful number, since it uses less digits than its factorization.

2000466810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2000466810720 in words is "two trillion, four hundred sixty-six million, eight hundred ten thousand, seven hundred twenty".