2117661360 has 160 divisors (see below), whose sum is σ = 6760519680. Its totient is φ = 548121600.

The previous prime is 2117661349. The next prime is 2117661361. The reversal of 2117661360 is 631667112.

It is not an unprimeable number, because it can be changed into a prime (2117661361) 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 31 ways as a sum of consecutive naturals, for example, 1155645 + ... + 1157475.

It is an arithmetic number, because the mean of its divisors is an integer number (42253248).

Almost surely, 2^2117661360 is an apocalyptic number.

2117661360 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 2117661360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380259840).

2117661360 is an abundant number, since it is smaller than the sum of its proper divisors (4642858320).

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

2117661360 is a wasteful number, since it uses less digits than its factorization.

2117661360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2117661360 is about 46018.0547176866. The cubic root of 2117661360 is about 1284.1591111138.

The spelling of 2117661360 in words is "two billion, one hundred seventeen million, six hundred sixty-one thousand, three hundred sixty".