2005405302 has 16 divisors (see below), whose sum is σ = 4022373312. Its totient is φ = 666541320.

The previous prime is 2005405277. The next prime is 2005405307. The reversal of 2005405302 is 2035045002.

2005405302 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2005405302² = 8043300850579422408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005405307) 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, 479524 + ... + 483687.

It is an arithmetic number, because the mean of its divisors is an integer number (251398332).

Almost surely, 2^2005405302 is an apocalyptic number.

2005405302 is an abundant number, since it is smaller than the sum of its proper divisors (2016968010).

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

2005405302 is a wasteful number, since it uses less digits than its factorization.

2005405302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963563.

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2005405302 is about 44781.7518862315. The cubic root of 2005405302 is about 1261.0550711815.

The spelling of 2005405302 in words is "two billion, five million, four hundred five thousand, three hundred two".