2001382920 has 96 divisors (see below), whose sum is σ = 6523335000. Its totient is φ = 532156416.

The previous prime is 2001382913. The next prime is 2001382921. The reversal of 2001382920 is 292831002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 911194596 + 1090188324 = 30186^2 + 33018^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (2001382921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119206 + ... + 134954.

Almost surely, 2^2001382920 is an apocalyptic number.

2001382920 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 2001382920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261667500).

2001382920 is an abundant number, since it is smaller than the sum of its proper divisors (4521952080).

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

2001382920 is a wasteful number, since it uses less digits than its factorization.

2001382920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16119 (or 16112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2001382920 is about 44736.8183938018. The cubic root of 2001382920 is about 1260.2113779915.

The spelling of 2001382920 in words is "two billion, one million, three hundred eighty-two thousand, nine hundred twenty".