2224301333130 has 192 divisors, whose sum is σ = 6339134973600. Its totient is φ = 538613268480.

The previous prime is 2224301333119. The next prime is 2224301333153. The reversal of 2224301333130 is 313331034222.

2224301333130 is a `hidden beast` number, since 2 + 2 + 24 + 301 + 3 + 331 + 3 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 378162272601 + 1846139060529 = 614949^2 + 1358727^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2224301333094 and 2224301333103.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63387190 + ... + 63422270.

Almost surely, 2^{2224301333130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224301333130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169567486800).

2224301333130 is an abundant number, since it is smaller than the sum of its proper divisors (4114833640470).

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

2224301333130 is a wasteful number, since it uses less digits than its factorization.

2224301333130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36569 (or 36566 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 2224301333130 its reverse (313331034222), we get a palindrome (2537632367352).

The spelling of 2224301333130 in words is "two trillion, two hundred twenty-four billion, three hundred one million, three hundred thirty-three thousand, one hundred thirty".