2005535020 has 24 divisors (see below), whose sum is σ = 4356853200. Its totient is φ = 774551232.

The previous prime is 2005535011. The next prime is 2005535023. The reversal of 2005535020 is 205355002.

It is a junction number, because it is equal to n+sod(n) for n = 2005534982 and 2005535000.

It is not an unprimeable number, because it can be changed into a prime (2005535023) 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, 1728330 + ... + 1729489.

It is an arithmetic number, because the mean of its divisors is an integer number (181535550).

Almost surely, 2^2005535020 is an apocalyptic number.

2005535020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005535020 is an abundant number, since it is smaller than the sum of its proper divisors (2351318180).

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

2005535020 is a wasteful number, since it uses less digits than its factorization.

2005535020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457857 (or 3457855 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 2005535020 is about 44783.2001982886. The cubic root of 2005535020 is about 1261.0822607002.

The spelling of 2005535020 in words is "two billion, five million, five hundred thirty-five thousand, twenty".