2102016 has 144 divisors (see below), whose sum is σ = 7064064. Its totient is φ = 540672.

The previous prime is 2101961. The next prime is 2102021. The reversal of 2102016 is 6102012.

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 = 2101992 and 2102010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91381 + ... + 91403.

It is an arithmetic number, because the mean of its divisors is an integer number (49056).

2^2102016 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 2102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532032).

2102016 is an abundant number, since it is smaller than the sum of its proper divisors (4962048).

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

2102016 is a wasteful number, since it uses less digits than its factorization.

2102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 52 counting only the distinct ones).

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

The square root of 2102016 is about 1449.8330938422. The cubic root of 2102016 is about 128.0988819259.

Adding to 2102016 its reverse (6102012), we get a palindrome (8204028).

The spelling of 2102016 in words is "two million, one hundred two thousand, sixteen".