2001721344 has 288 divisors, whose sum is σ = 6367561200. Its totient is φ = 557383680.

The previous prime is 2001721327. The next prime is 2001721357. The reversal of 2001721344 is 4431271002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18364362 + ... + 18364470.

Almost surely, 2^2001721344 is an apocalyptic number.

2001721344 is a gapful number since it is divisible by the number (24) 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 2001721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183780600).

2001721344 is an abundant number, since it is smaller than the sum of its proper divisors (4365839856).

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

2001721344 is a wasteful number, since it uses less digits than its factorization.

2001721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2001721344 is about 44740.6006218066. The cubic root of 2001721344 is about 1260.2824058350.

Adding to 2001721344 its reverse (4431271002), we get a palindrome (6432992346).

The spelling of 2001721344 in words is "two billion, one million, seven hundred twenty-one thousand, three hundred forty-four".