2165424 has 40 divisors (see below), whose sum is σ = 5646960. Its totient is φ = 715008.

The previous prime is 2165413. The next prime is 2165453. The reversal of 2165424 is 4245612.

It is a super-2 number, since 2×2165424² = 9378122199552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2165394 and 2165403.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9342 + ... + 9570.

It is an arithmetic number, because the mean of its divisors is an integer number (141174).

2^2165424 is an apocalyptic number.

2165424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2165424 is an abundant number, since it is smaller than the sum of its proper divisors (3481536).

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

2165424 is a wasteful number, since it uses less digits than its factorization.

2165424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2165424 is about 1471.5379709678. The cubic root of 2165424 is about 129.3741914580.

The spelling of 2165424 in words is "two million, one hundred sixty-five thousand, four hundred twenty-four".