2001720000 has 280 divisors, whose sum is σ = 7566777856. Its totient is φ = 457344000.

The previous prime is 2001719987. The next prime is 2001720023. The reversal of 2001720000 is 271002.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 838809 + ... + 841191.

Almost surely, 2^2001720000 is an apocalyptic number.

2001720000 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 2001720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783388928).

2001720000 is an abundant number, since it is smaller than the sum of its proper divisors (5565057856).

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

2001720000 is an equidigital number, since it uses as much as digits as its factorization.

2001720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2001720000 is about 44740.5856018895. The cubic root of 2001720000 is about 1260.2821237744.

Adding to 2001720000 its reverse (271002), we get a palindrome (2001991002).

The spelling of 2001720000 in words is "two billion, one million, seven hundred twenty thousand".