2164000 has 48 divisors (see below), whose sum is σ = 5326776. Its totient is φ = 864000.

The previous prime is 2163983. The next prime is 2164003. The reversal of 2164000 is 4612.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 1628176 = 732^2 + 1276^2 .

It is not an unprimeable number, because it can be changed into a prime (2164003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3730 + ... + 4270.

2^2164000 is an apocalyptic number.

2164000 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 2164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663388).

2164000 is an abundant number, since it is smaller than the sum of its proper divisors (3162776).

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

2164000 is an equidigital number, since it uses as much as digits as its factorization.

2164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2164000 is about 1471.0540438747. The cubic root of 2164000 is about 129.3458260745.

Adding to 2164000 its reverse (4612), we get a palindrome (2168612).

The spelling of 2164000 in words is "two million, one hundred sixty-four thousand".