2001724032 has 128 divisors (see below), whose sum is σ = 6629184000. Its totient is φ = 519920640.

The previous prime is 2001724027. The next prime is 2001724097. The reversal of 2001724032 is 2304271002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4282 + ... + 63417.

It is an arithmetic number, because the mean of its divisors is an integer number (51790500).

Almost surely, 2^2001724032 is an apocalyptic number.

2001724032 is a gapful number since it is divisible by the number (22) 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 2001724032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314592000).

2001724032 is an abundant number, since it is smaller than the sum of its proper divisors (4627459968).

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

2001724032 is a wasteful number, since it uses less digits than its factorization.

2001724032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67734 (or 67722 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2001724032 is about 44740.6306616257. The cubic root of 2001724032 is about 1260.2829699557.

Adding to 2001724032 its reverse (2304271002), we get a palindrome (4305995034).

The spelling of 2001724032 in words is "two billion, one million, seven hundred twenty-four thousand, thirty-two".