2008192 has 32 divisors (see below), whose sum is σ = 4146300. Its totient is φ = 967680.

The previous prime is 2008189. The next prime is 2008213. The reversal of 2008192 is 2918002.

It can be written as a sum of positive squares in 2 ways, for example, as 2005056 + 3136 = 1416^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-4 number, since 4×2008192⁴ (a number of 26 digits) contains 4444 as substring.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3442 + ... + 3982.

2^2008192 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 2008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073150).

2008192 is an abundant number, since it is smaller than the sum of its proper divisors (2138108).

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

2008192 is an equidigital number, since it uses as much as digits as its factorization.

2008192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2008192 is about 1417.1069119865. The cubic root of 2008192 is about 126.1638918769.

It can be divided in two parts, 200 and 8192, that multiplied together give a square (1638400 = 1280²).

The spelling of 2008192 in words is "two million, eight thousand, one hundred ninety-two".