2221033903488 has 768 divisors, whose sum is σ = 7116635635200. Its totient is φ = 687937536000.

The previous prime is 2221033903483. The next prime is 2221033903513. The reversal of 2221033903488 is 8843093301222.

2221033903488 is a `hidden beast` number, since 2 + 2 + 210 + 3 + 3 + 90 + 348 + 8 = 666.

2221033903488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2221033903488² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221033903483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4263020668 + ... + 4263021188.

It is an arithmetic number, because the mean of its divisors is an integer number (9266452650).

Almost surely, 2^{2221033903488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221033903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558317817600).

2221033903488 is an abundant number, since it is smaller than the sum of its proper divisors (4895601731712).

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

2221033903488 is a wasteful number, since it uses less digits than its factorization.

2221033903488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2221033903488 in words is "two trillion, two hundred twenty-one billion, thirty-three million, nine hundred three thousand, four hundred eighty-eight".