2005110880 has 96 divisors (see below), whose sum is σ = 4809067200. Its totient is φ = 789964800.

The previous prime is 2005110871. The next prime is 2005110889. The reversal of 2005110880 is 880115002.

It is an interprime number because it is at equal distance from previous prime (2005110871) and next prime (2005110889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005110889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3599562 + ... + 3600118.

It is an arithmetic number, because the mean of its divisors is an integer number (50094450).

Almost surely, 2^2005110880 is an apocalyptic number.

2005110880 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 2005110880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404533600).

2005110880 is an abundant number, since it is smaller than the sum of its proper divisors (2803956320).

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

2005110880 is a wasteful number, since it uses less digits than its factorization.

2005110880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 2005110880 is about 44778.4644667501. The cubic root of 2005110880 is about 1260.9933545587.

Adding to 2005110880 its reverse (880115002), we get a palindrome (2885225882).

The spelling of 2005110880 in words is "two billion, five million, one hundred ten thousand, eight hundred eighty".