2213412306 has 64 divisors (see below), whose sum is σ = 5191796736. Its totient is φ = 615888000.

The previous prime is 2213412301. The next prime is 2213412319. The reversal of 2213412306 is 6032143122.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2213412301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1809211 + ... + 1810433.

It is an arithmetic number, because the mean of its divisors is an integer number (81121824).

Almost surely, 2^2213412306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213412306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595898368).

2213412306 is an abundant number, since it is smaller than the sum of its proper divisors (2978384430).

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

2213412306 is a wasteful number, since it uses less digits than its factorization.

2213412306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2213412306 is about 47046.9160094474. The cubic root of 2213412306 is about 1303.2291136778.

Adding to 2213412306 its reverse (6032143122), we get a palindrome (8245555428).

The spelling of 2213412306 in words is "two billion, two hundred thirteen million, four hundred twelve thousand, three hundred six".