2166416 has 60 divisors (see below), whose sum is σ = 5184192. Its totient is φ = 857472.

The previous prime is 2166407. The next prime is 2166419. The reversal of 2166416 is 6146612.

It is a happy number.

2166416 is a Rhonda number in base 6.

Its product of digits (1728) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166419) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 74690 + ... + 74718.

2^2166416 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 2166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592096).

2166416 is an abundant number, since it is smaller than the sum of its proper divisors (3017776).

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

2166416 is a wasteful number, since it uses less digits than its factorization.

2166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 2166416 is about 1471.8749946921. The cubic root of 2166416 is about 129.3939442647.

The spelling of 2166416 in words is "two million, one hundred sixty-six thousand, four hundred sixteen".