2166216 has 64 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 648960.

The previous prime is 2166179. The next prime is 2166221. The reversal of 2166216 is 6126612.

2166216 = T₂₅₉ + T₂₆₀ + ... + T₃₁₁.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 16471 + ... + 16601.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

2^2166216 is an apocalyptic number.

2166216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2166216 is an abundant number, since it is smaller than the sum of its proper divisors (3821304).

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

2166216 is a wasteful number, since it uses less digits than its factorization.

2166216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 202 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2166216 is about 1471.8070525718. The cubic root of 2166216 is about 129.3899623294.

It can be divided in two parts, 2166 and 216, that multiplied together give a square (467856 = 684²).

The spelling of 2166216 in words is "two million, one hundred sixty-six thousand, two hundred sixteen".