2220741414216 has 256 divisors, whose sum is σ = 7046290944000. Its totient is φ = 642398065920.

The previous prime is 2220741414191. The next prime is 2220741414247. The reversal of 2220741414216 is 6124141470222.

2220741414216 is a `hidden beast` number, since 2 + 2 + 20 + 7 + 4 + 1 + 414 + 216 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6830241 + ... + 7147983.

It is an arithmetic number, because the mean of its divisors is an integer number (27524574000).

Almost surely, 2^{2220741414216} is an apocalyptic number.

2220741414216 is a gapful number since it is divisible by the number (26) 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 2220741414216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523145472000).

2220741414216 is an abundant number, since it is smaller than the sum of its proper divisors (4825549529784).

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

2220741414216 is a wasteful number, since it uses less digits than its factorization.

2220741414216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317921 (or 317911 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 2220741414216 its reverse (6124141470222), we get a palindrome (8344882884438).

The spelling of 2220741414216 in words is "two trillion, two hundred twenty billion, seven hundred forty-one million, four hundred fourteen thousand, two hundred sixteen".