2166384 has 60 divisors (see below), whose sum is σ = 6168008. Its totient is φ = 654720.

The previous prime is 2166319. The next prime is 2166403. The reversal of 2166384 is 4836612.

It is a super-3 number, since 3×2166384³ = 30501947780213133312, which contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 5622 + ... + 5994.

2^2166384 is an apocalyptic number.

2166384 is a gapful number since it is divisible by the number (24) 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 2166384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084004).

2166384 is an abundant number, since it is smaller than the sum of its proper divisors (4001624).

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

2166384 is a wasteful number, since it uses less digits than its factorization.

2166384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 389 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2166384 is about 1471.8641241636. The cubic root of 2166384 is about 129.3933071715.

It can be divided in two parts, 2166 and 384, that multiplied together give a square (831744 = 912²).

The spelling of 2166384 in words is "two million, one hundred sixty-six thousand, three hundred eighty-four".