2122016 has 24 divisors (see below), whose sum is σ = 4499964. Its totient is φ = 979200.

The previous prime is 2122013. The next prime is 2122031. The reversal of 2122016 is 6102212.

It can be written as a sum of positive squares in 2 ways, for example, as 1488400 + 633616 = 1220^2 + 796^2 .

It is not an unprimeable number, because it can be changed into a prime (2122013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2135 + ... + 2966.

2^2122016 is an apocalyptic number.

2122016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2122016 is an abundant number, since it is smaller than the sum of its proper divisors (2377948).

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

2122016 is a wasteful number, since it uses less digits than its factorization.

2122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124 (or 5116 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2122016 is about 1456.7141105927. The cubic root of 2122016 is about 128.5038732702.

Adding to 2122016 its reverse (6102212), we get a palindrome (8224228).

The spelling of 2122016 in words is "two million, one hundred twenty-two thousand, sixteen".