2005575952 has 40 divisors (see below), whose sum is σ = 4117477536. Its totient is φ = 943090176.

The previous prime is 2005575947. The next prime is 2005575959. The reversal of 2005575952 is 2595755002.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2005575959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 597543 + ... + 600889.

Almost surely, 2^2005575952 is an apocalyptic number.

It is an amenable number.

2005575952 is an abundant number, since it is smaller than the sum of its proper divisors (2111901584).

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

2005575952 is a wasteful number, since it uses less digits than its factorization.

2005575952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 40.

The square root of 2005575952 is about 44783.6571976876. The cubic root of 2005575952 is about 1261.0908400015.

The spelling of 2005575952 in words is "two billion, five million, five hundred seventy-five thousand, nine hundred fifty-two".