2218181760 has 384 divisors, whose sum is σ = 8420630400. Its totient is φ = 556056576.

The previous prime is 2218181711. The next prime is 2218181767. The reversal of 2218181760 is 671818122.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218181767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2643421 + ... + 2644259.

It is an arithmetic number, because the mean of its divisors is an integer number (21928725).

Almost surely, 2^2218181760 is an apocalyptic number.

2218181760 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 2218181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210315200).

2218181760 is an abundant number, since it is smaller than the sum of its proper divisors (6202448640).

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

2218181760 is an equidigital number, since it uses as much as digits as its factorization.

2218181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 2218181760 is about 47097.5770077400. The cubic root of 2218181760 is about 1304.1645068279.

Adding to 2218181760 its reverse (671818122), we get a palindrome (2889999882).

The spelling of 2218181760 in words is "two billion, two hundred eighteen million, one hundred eighty-one thousand, seven hundred sixty".