2224211135020 has 144 divisors (see below), whose sum is σ = 5604668475840. Its totient is φ = 738733395456.

The previous prime is 2224211134979. The next prime is 2224211135033. The reversal of 2224211135020 is 205311124222.

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 47 ways as a sum of consecutive naturals, for example, 8169609 + ... + 8437471.

It is an arithmetic number, because the mean of its divisors is an integer number (38921308860).

Almost surely, 2^{2224211135020} is an apocalyptic number.

2224211135020 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 2224211135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802334237920).

2224211135020 is an abundant number, since it is smaller than the sum of its proper divisors (3380457340820).

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

2224211135020 is a wasteful number, since it uses less digits than its factorization.

2224211135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268152 (or 268143 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2224211135020 its reverse (205311124222), we get a palindrome (2429522259242).

The spelling of 2224211135020 in words is "two trillion, two hundred twenty-four billion, two hundred eleven million, one hundred thirty-five thousand, twenty".