2001620016 has 120 divisors (see below), whose sum is σ = 6155647680. Its totient is φ = 602121600.

The previous prime is 2001619987. The next prime is 2001620021. The reversal of 2001620016 is 6100261002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215631 + ... + 224721.

It is an arithmetic number, because the mean of its divisors is an integer number (51297064).

Almost surely, 2^2001620016 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 2001620016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077823840).

2001620016 is an abundant number, since it is smaller than the sum of its proper divisors (4154027664).

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

2001620016 is a wasteful number, since it uses less digits than its factorization.

2001620016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9255 (or 9246 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2001620016 is about 44739.4682132007. The cubic root of 2001620016 is about 1260.2611401294.

Adding to 2001620016 its reverse (6100261002), we get a palindrome (8101881018).

The spelling of 2001620016 in words is "two billion, one million, six hundred twenty thousand, sixteen".