2001816960 has 512 divisors, whose sum is σ = 7846917120. Its totient is φ = 427130880.

The previous prime is 2001816941. The next prime is 2001816961. The reversal of 2001816960 is 696181002.

It is a super-2 number, since 2×2001816960² = 8014542282687283200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001816961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6314722 + ... + 6315038.

It is an arithmetic number, because the mean of its divisors is an integer number (15326010).

Almost surely, 2^2001816960 is an apocalyptic number.

2001816960 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 2001816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3923458560).

2001816960 is an abundant number, since it is smaller than the sum of its proper divisors (5845100160).

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

2001816960 is a wasteful number, since it uses less digits than its factorization.

2001816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2001816960 is about 44741.6691686844. The cubic root of 2001816960 is about 1260.3024721052.

Adding to 2001816960 its reverse (696181002), we get a palindrome (2697997962).

The spelling of 2001816960 in words is "two billion, one million, eight hundred sixteen thousand, nine hundred sixty".