2164096 has 64 divisors (see below), whose sum is σ = 4957200. Its totient is φ = 931840.

The previous prime is 2164073. The next prime is 2164111. The reversal of 2164096 is 6904612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2164096² = 9366622994432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 40806 + ... + 40858.

2^2164096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478600).

2164096 is an abundant number, since it is smaller than the sum of its proper divisors (2793104).

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

2164096 is a wasteful number, since it uses less digits than its factorization.

2164096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2164096 is about 1471.0866731773. The cubic root of 2164096 is about 129.3477387386.

It can be divided in two parts, 21640 and 96, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 2164096 in words is "two million, one hundred sixty-four thousand, ninety-six".