2210133112224 has 96 divisors (see below), whose sum is σ = 5979564327744. Its totient is φ = 714332805120.

The previous prime is 2210133112217. The next prime is 2210133112267. The reversal of 2210133112224 is 4222113310122.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 2210133112194 and 2210133112203.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1080879 + ... + 2364014.

It is an arithmetic number, because the mean of its divisors is an integer number (62287128414).

Almost surely, 2^{2210133112224} is an apocalyptic number.

2210133112224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2210133112224 is an abundant number, since it is smaller than the sum of its proper divisors (3769431215520).

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

2210133112224 is a wasteful number, since it uses less digits than its factorization.

2210133112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445110 (or 3445102 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2210133112224 its reverse (4222113310122), we get a palindrome (6432246422346).

The spelling of 2210133112224 in words is "two trillion, two hundred ten billion, one hundred thirty-three million, one hundred twelve thousand, two hundred twenty-four".