2001936384 has 280 divisors, whose sum is σ = 6850977408. Its totient is φ = 570654720.

The previous prime is 2001936379. The next prime is 2001936389. The reversal of 2001936384 is 4836391002.

2001936384 is a `hidden beast` number, since 2 + 0 + 0 + 19 + 3 + 638 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2001936379) and next prime (2001936389).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (2001936389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4644649 + ... + 4645079.

Almost surely, 2^2001936384 is an apocalyptic number.

2001936384 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 2001936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425488704).

2001936384 is an abundant number, since it is smaller than the sum of its proper divisors (4849041024).

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

2001936384 is an frugal number, since it uses more digits than its factorization.

2001936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2001936384 is about 44743.0037436022. The cubic root of 2001936384 is about 1260.3275338986.

The spelling of 2001936384 in words is "two billion, one million, nine hundred thirty-six thousand, three hundred eighty-four".