2001328560 has 720 divisors, whose sum is σ = 8891430912. Its totient is φ = 413683200.

The previous prime is 2001328547. The next prime is 2001328561. The reversal of 2001328560 is 658231002.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2001328561) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 10478065 + ... + 10478255.

Almost surely, 2^2001328560 is an apocalyptic number.

2001328560 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 2001328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2001328560 is an abundant number, since it is smaller than the sum of its proper divisors (6890102352).

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

2001328560 is a wasteful number, since it uses less digits than its factorization.

2001328560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2001328560 is about 44736.2108364130. The cubic root of 2001328560 is about 1260.1999682624.

Adding to 2001328560 its reverse (658231002), we get a palindrome (2659559562).

The spelling of 2001328560 in words is "two billion, one million, three hundred twenty-eight thousand, five hundred sixty".