2001811968 has 400 divisors, whose sum is σ = 6654574080. Its totient is φ = 595206144.

The previous prime is 2001811967. The next prime is 2001811979. The reversal of 2001811968 is 8691181002.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2001811963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25339353 + ... + 25339431.

Almost surely, 2^2001811968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327287040).

2001811968 is an abundant number, since it is smaller than the sum of its proper divisors (4652762112).

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

2001811968 is an equidigital number, since it uses as much as digits as its factorization.

2001811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 2001811968 is about 44741.6133817278. The cubic root of 2001811968 is about 1260.3014244844.

The spelling of 2001811968 in words is "two billion, one million, eight hundred eleven thousand, nine hundred sixty-eight".