2220468705 has 192 divisors, whose sum is σ = 4931297280. Its totient is φ = 899486208.

The previous prime is 2220468659. The next prime is 2220468707. The reversal of 2220468705 is 5078640222.

It is not a de Polignac number, because 2220468705 - 2⁷ = 2220468577 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2220468705.

It is not an unprimeable number, because it can be changed into a prime (2220468707) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15974526 + ... + 15974664.

It is an arithmetic number, because the mean of its divisors is an integer number (25683840).

Almost surely, 2^2220468705 is an apocalyptic number.

It is an amenable number.

2220468705 is an abundant number, since it is smaller than the sum of its proper divisors (2710828575).

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

2220468705 is a wasteful number, since it uses less digits than its factorization.

2220468705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2220468705 is about 47121.8495498638. The cubic root of 2220468705 is about 1304.6125506770.

It can be divided in two parts, 22204 and 68705, that added together give a palindrome (90909).

The spelling of 2220468705 in words is "two billion, two hundred twenty million, four hundred sixty-eight thousand, seven hundred five".