2172016 has 80 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 806400.

The previous prime is 2172007. The next prime is 2172031. The reversal of 2172016 is 6102712.

It is a junction number, because it is equal to n+sod(n) for n = 2171984 and 2172002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50491 + ... + 50533.

2^2172016 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 2172016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2172016 is an abundant number, since it is smaller than the sum of its proper divisors (3327632).

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

2172016 is a wasteful number, since it uses less digits than its factorization.

2172016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2172016 is about 1473.7761023982. The cubic root of 2172016 is about 129.5053390960.

Adding to 2172016 its reverse (6102712), we get a palindrome (8274728).

It can be divided in two parts, 21720 and 16, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 2172016 in words is "two million, one hundred seventy-two thousand, sixteen".