2164104 has 64 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 701568.

The previous prime is 2164073. The next prime is 2164111. The reversal of 2164104 is 4014612.

2164104 is a `hidden beast` number, since 21 + 641 + 0 + 4 = 666.

It is a super-3 number, since 3×2164104³ = 30405744233311790592, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9172 + ... + 9404.

It is an arithmetic number, because the mean of its divisors is an integer number (96525).

2^2164104 is an apocalyptic number.

2164104 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 2164104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2164104 is an abundant number, since it is smaller than the sum of its proper divisors (4013496).

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

2164104 is a wasteful number, since it uses less digits than its factorization.

2164104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2164104 is about 1471.0893922532. The cubic root of 2164104 is about 129.3478981247.

Adding to 2164104 its reverse (4014612), we get a palindrome (6178716).

The spelling of 2164104 in words is "two million, one hundred sixty-four thousand, one hundred four".