2166000 has 120 divisors (see below), whose sum is σ = 7370064. Its totient is φ = 547200.

The previous prime is 2165971. The next prime is 2166007. The reversal of 2166000 is 6612.

2166000 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113991 + ... + 114009.

2^2166000 is an apocalyptic number.

2166000 is a gapful number since it is divisible by the number (20) 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 2166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685032).

2166000 is an abundant number, since it is smaller than the sum of its proper divisors (5204064).

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

2166000 is a wasteful number, since it uses less digits than its factorization.

2166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2166000 is about 1471.7336715588. The cubic root of 2166000 is about 129.3856615639.

Multiplying 2166000 by its sum of digits (15), we get a square (32490000 = 5700²).

2166000 divided by its sum of digits (15) gives a square (144400 = 380²).

It can be divided in two parts, 216 and 6000, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 2166000 in words is "two million, one hundred sixty-six thousand".