2213346340 has 72 divisors (see below), whose sum is σ = 4788677880. Its totient is φ = 859212288.

The previous prime is 2213346329. The next prime is 2213346379. The reversal of 2213346340 is 436433122.

2213346340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1149184 + 2212197156 = 1072^2 + 47034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2213346299 and 2213346308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7990282 + ... + 7990558.

It is an arithmetic number, because the mean of its divisors is an integer number (66509415).

Almost surely, 2^2213346340 is an apocalyptic number.

2213346340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213346340 is an abundant number, since it is smaller than the sum of its proper divisors (2575331540).

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

2213346340 is a wasteful number, since it uses less digits than its factorization.

2213346340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 2213346340 is about 47046.2149380798. The cubic root of 2213346340 is about 1303.2161669009.

Adding to 2213346340 its reverse (436433122), we get a palindrome (2649779462).

The spelling of 2213346340 in words is "two billion, two hundred thirteen million, three hundred forty-six thousand, three hundred forty".