2100002016 has 144 divisors (see below), whose sum is σ = 6494826240. Its totient is φ = 592300800.

The previous prime is 2100001973. The next prime is 2100002017. The reversal of 2100002016 is 6102000012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100001992 and 2100002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100002017) 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, 368791 + ... + 374441.

It is an arithmetic number, because the mean of its divisors is an integer number (45102960).

Almost surely, 2^2100002016 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 2100002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247413120).

2100002016 is an abundant number, since it is smaller than the sum of its proper divisors (4394824224).

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

2100002016 is a wasteful number, since it uses less digits than its factorization.

2100002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757 (or 5742 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2100002016 is about 45825.7789459165. The cubic root of 2100002016 is about 1280.5795747727.

Adding to 2100002016 its reverse (6102000012), we get a palindrome (8202002028).

The spelling of 2100002016 in words is "two billion, one hundred million, two thousand, sixteen".