2005264 has 10 divisors (see below), whose sum is σ = 3885230. Its totient is φ = 1002624.

The previous prime is 2005261. The next prime is 2005277. The reversal of 2005264 is 4625002.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 67600 = 1392^2 + 260^2 .

It is not an unprimeable number, because it can be changed into a prime (2005261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62649 + ... + 62680.

It is an arithmetic number, because the mean of its divisors is an integer number (388523).

2^2005264 is an apocalyptic number.

It is an amenable number.

2005264 is a deficient number, since it is larger than the sum of its proper divisors (1879966).

2005264 is a wasteful number, since it uses less digits than its factorization.

2005264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125337 (or 125331 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2005264 is about 1416.0734444230. The cubic root of 2005264 is about 126.1025452266.

The spelling of 2005264 in words is "two million, five thousand, two hundred sixty-four".