2218170229408 has 288 divisors, whose sum is σ = 5369276989440. Its totient is φ = 898081390080.

The previous prime is 2218170229403. The next prime is 2218170229411. The reversal of 2218170229408 is 8049220718122.

It is not an unprimeable number, because it can be changed into a prime (2218170229403) 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, 1094310891 + ... + 1094312917.

It is an arithmetic number, because the mean of its divisors is an integer number (18643322880).

Almost surely, 2^{2218170229408} is an apocalyptic number.

2218170229408 is a gapful number since it is divisible by the number (28) 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 2218170229408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684638494720).

2218170229408 is an abundant number, since it is smaller than the sum of its proper divisors (3151106760032).

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

2218170229408 is a wasteful number, since it uses less digits than its factorization.

2218170229408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

It can be divided in two parts, 2218170 and 229408, that added together give a triangular number (2447578 = T₂₂₁₂).

The spelling of 2218170229408 in words is "two trillion, two hundred eighteen billion, one hundred seventy million, two hundred twenty-nine thousand, four hundred eight".