2005530000 has 100 divisors (see below), whose sum is σ = 6474215088. Its totient is φ = 534800000.

The previous prime is 2005529963. The next prime is 2005530013. The reversal of 2005530000 is 355002.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3426 + ... + 63425.

Almost surely, 2^2005530000 is an apocalyptic number.

2005530000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237107544).

2005530000 is an abundant number, since it is smaller than the sum of its proper divisors (4468685088).

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

2005530000 is an equidigital number, since it uses as much as digits as its factorization.

2005530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66882 (or 66861 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 2005530000 is about 44783.1441504502. The cubic root of 2005530000 is about 1261.0812085058.

Adding to 2005530000 its reverse (355002), we get a palindrome (2005885002).

The spelling of 2005530000 in words is "two billion, five million, five hundred thirty thousand".