2005105530 has 128 divisors (see below), whose sum is σ = 5296492800. Its totient is φ = 483840000.

The previous prime is 2005105489. The next prime is 2005105537. The reversal of 2005105530 is 355015002.

It is a junction number, because it is equal to n+sod(n) for n = 2005105497 and 2005105506.

It is not an unprimeable number, because it can be changed into a prime (2005105537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1668930 + ... + 1670130.

It is an arithmetic number, because the mean of its divisors is an integer number (41378850).

Almost surely, 2^2005105530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005105530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648246400).

2005105530 is an abundant number, since it is smaller than the sum of its proper divisors (3291387270).

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

2005105530 is a wasteful number, since it uses less digits than its factorization.

2005105530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 2005105530 is about 44778.4047281723. The cubic root of 2005105530 is about 1260.9922330380.

The spelling of 2005105530 in words is "two billion, five million, one hundred five thousand, five hundred thirty".