2005472 has 36 divisors (see below), whose sum is σ = 4596480. Its totient is φ = 858816.

The previous prime is 2005459. The next prime is 2005489. The reversal of 2005472 is 2745002.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 929 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (127680).

2^2005472 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 2005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298240).

2005472 is an abundant number, since it is smaller than the sum of its proper divisors (2591008).

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

2005472 is a wasteful number, since it uses less digits than its factorization.

2005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2005472 is about 1416.1468850370. The cubic root of 2005472 is about 126.1069051551.

The spelling of 2005472 in words is "two million, five thousand, four hundred seventy-two".