2005310300 has 108 divisors (see below), whose sum is σ = 5081877864. Its totient is φ = 684835200.

The previous prime is 2005310239. The next prime is 2005310303. The reversal of 2005310300 is 30135002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005310303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1552655 + ... + 1553945.

Almost surely, 2^2005310300 is an apocalyptic number.

2005310300 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 2005310300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540938932).

2005310300 is an abundant number, since it is smaller than the sum of its proper divisors (3076567564).

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

2005310300 is a wasteful number, since it uses less digits than its factorization.

2005310300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2005310300 is about 44780.6911514327. The cubic root of 2005310300 is about 1261.0351575601.

Adding to 2005310300 its reverse (30135002), we get a palindrome (2035445302).

The spelling of 2005310300 in words is "two billion, five million, three hundred ten thousand, three hundred".