2221052617728 has 440 divisors, whose sum is σ = 8025914806272. Its totient is φ = 597255192576.

The previous prime is 2221052617661. The next prime is 2221052617753. The reversal of 2221052617728 is 8277162501222.

2221052617728 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 5 + 2 + 617 + 7 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9757825 + ... + 9982847.

Almost surely, 2^{2221052617728} is an apocalyptic number.

2221052617728 is a gapful number since it is divisible by the number (28) 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 2221052617728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012957403136).

2221052617728 is an abundant number, since it is smaller than the sum of its proper divisors (5804862188544).

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

2221052617728 is a wasteful number, since it uses less digits than its factorization.

2221052617728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225079 (or 225052 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2221052617728 in words is "two trillion, two hundred twenty-one billion, fifty-two million, six hundred seventeen thousand, seven hundred twenty-eight".