2005952 has 28 divisors (see below), whose sum is σ = 4288536. Its totient is φ = 925440.

The previous prime is 2005943. The next prime is 2005957. The reversal of 2005952 is 2595002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005957) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 374 + ... + 2037.

It is an arithmetic number, because the mean of its divisors is an integer number (153162).

2^2005952 is an apocalyptic number.

It is an amenable number.

2005952 is an abundant number, since it is smaller than the sum of its proper divisors (2282584).

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

2005952 is a wasteful number, since it uses less digits than its factorization.

2005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 2005952 is about 1416.3163488430. The cubic root of 2005952 is about 126.1169653779.

The spelling of 2005952 in words is "two million, five thousand, nine hundred fifty-two".