2213414204240 has 120 divisors (see below), whose sum is σ = 5298951517272. Its totient is φ = 859821557760.

The previous prime is 2213414204171. The next prime is 2213414204249. The reversal of 2213414204240 is 424024143122.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 92010302224 + 2121403902016 = 303332^2 + 1456504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213414204249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59231642 + ... + 59268998.

Almost surely, 2^{2213414204240} is an apocalyptic number.

2213414204240 is a gapful number since it is divisible by the number (20) 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 2213414204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649475758636).

2213414204240 is an abundant number, since it is smaller than the sum of its proper divisors (3085537313032).

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

2213414204240 is a wasteful number, since it uses less digits than its factorization.

2213414204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37985 (or 37942 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2213414204240 its reverse (424024143122), we get a palindrome (2637438347362).

The spelling of 2213414204240 in words is "two trillion, two hundred thirteen billion, four hundred fourteen million, two hundred four thousand, two hundred forty".