2222231505024 has 256 divisors, whose sum is σ = 6487415424000. Its totient is φ = 670854057984.

The previous prime is 2222231504971. The next prime is 2222231505037. The reversal of 2222231505024 is 4205051322222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2222231504982 and 2222231505000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429082467 + ... + 429087645.

It is an arithmetic number, because the mean of its divisors is an integer number (25341466500).

Almost surely, 2^{2222231505024} is an apocalyptic number.

2222231505024 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 2222231505024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243707712000).

2222231505024 is an abundant number, since it is smaller than the sum of its proper divisors (4265183918976).

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

2222231505024 is a wasteful number, since it uses less digits than its factorization.

2222231505024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2222231505024 its reverse (4205051322222), we get a palindrome (6427282827246).

The spelling of 2222231505024 in words is "two trillion, two hundred twenty-two billion, two hundred thirty-one million, five hundred five thousand, twenty-four".