2180117511 has 64 divisors (see below), whose sum is σ = 3841850880. Its totient is φ = 1219471200.

The previous prime is 2180117503. The next prime is 2180117539. The reversal of 2180117511 is 1157110812.

It is not a de Polignac number, because 2180117511 - 2³ = 2180117503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180117581) 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, 309256 + ... + 316226.

It is an arithmetic number, because the mean of its divisors is an integer number (60028920).

Almost surely, 2^2180117511 is an apocalyptic number.

2180117511 is a deficient number, since it is larger than the sum of its proper divisors (1661733369).

2180117511 is an equidigital number, since it uses as much as digits as its factorization.

2180117511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 27.

The square root of 2180117511 is about 46691.7285073063. The cubic root of 2180117511 is about 1296.6615546073.

It can be divided in two parts, 218011 and 7511, that added together give a palindrome (225522).

The spelling of 2180117511 in words is "two billion, one hundred eighty million, one hundred seventeen thousand, five hundred eleven".