2213022310224 has 320 divisors, whose sum is σ = 6397398040320. Its totient is φ = 653607567360.

The previous prime is 2213022310217. The next prime is 2213022310231. The reversal of 2213022310224 is 4220132203122.

It is an interprime number because it is at equal distance from previous prime (2213022310217) and next prime (2213022310231).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2213022310194 and 2213022310203.

It is a congruent number.

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, 1335558804 + ... + 1335560460.

It is an arithmetic number, because the mean of its divisors is an integer number (19991868876).

Almost surely, 2^{2213022310224} is an apocalyptic number.

2213022310224 is a gapful number since it is divisible by the number (24) 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 2213022310224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198699020160).

2213022310224 is an abundant number, since it is smaller than the sum of its proper divisors (4184375730096).

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

2213022310224 is a wasteful number, since it uses less digits than its factorization.

2213022310224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2213022310224 its reverse (4220132203122), we get a palindrome (6433154513346).

The spelling of 2213022310224 in words is "two trillion, two hundred thirteen billion, twenty-two million, three hundred ten thousand, two hundred twenty-four".