2005311020 has 48 divisors (see below), whose sum is σ = 4314739968. Its totient is φ = 782443200.

The previous prime is 2005310971. The next prime is 2005311023. The reversal of 2005311020 is 201135002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2005310986 and 2005311004.

It is not an unprimeable number, because it can be changed into a prime (2005311023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1247057 + ... + 1248663.

It is an arithmetic number, because the mean of its divisors is an integer number (89890416).

Almost surely, 2^2005311020 is an apocalyptic number.

2005311020 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 2005311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157369984).

2005311020 is an abundant number, since it is smaller than the sum of its proper divisors (2309428948).

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

2005311020 is a wasteful number, since it uses less digits than its factorization.

2005311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2005311020 is about 44780.6991906111. The cubic root of 2005311020 is about 1261.0353084836.

Adding to 2005311020 its reverse (201135002), we get a palindrome (2206446022).

The spelling of 2005311020 in words is "two billion, five million, three hundred eleven thousand, twenty".