2005405512 has 64 divisors (see below), whose sum is σ = 5707100160. Its totient is φ = 581275200.

The previous prime is 2005405511. The next prime is 2005405529. The reversal of 2005405512 is 2155045002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2005405511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159064 + ... + 171207.

It is an arithmetic number, because the mean of its divisors is an integer number (89173440).

Almost surely, 2^2005405512 is an apocalyptic number.

2005405512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2005405512 is an abundant number, since it is smaller than the sum of its proper divisors (3701694648).

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

2005405512 is a wasteful number, since it uses less digits than its factorization.

2005405512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330314 (or 330310 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2005405512 is about 44781.7542309365. The cubic root of 2005405512 is about 1261.0551151995.

The spelling of 2005405512 in words is "two billion, five million, four hundred five thousand, five hundred twelve".