2118000 has 80 divisors (see below), whose sum is σ = 6847776. Its totient is φ = 563200.

The previous prime is 2117977. The next prime is 2118007. The reversal of 2118000 is 8112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118007) 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 15 ways as a sum of consecutive naturals, for example, 5824 + ... + 6176.

2^2118000 is an apocalyptic number.

2118000 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 2118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423888).

2118000 is an abundant number, since it is smaller than the sum of its proper divisors (4729776).

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

2118000 is a wasteful number, since it uses less digits than its factorization.

2118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2118000 is about 1455.3350129781. The cubic root of 2118000 is about 128.4227558391.

The spelling of 2118000 in words is "two million, one hundred eighteen thousand".