2221257679872 has 704 divisors, whose sum is σ = 7726638034944. Its totient is φ = 550122946560.

The previous prime is 2221257679867. The next prime is 2221257679877. The reversal of 2221257679872 is 2789767521222.

It is an interprime number because it is at equal distance from previous prime (2221257679867) and next prime (2221257679877).

It is a tau number, because it is divible by the number of its divisors (704).

It is not an unprimeable number, because it can be changed into a prime (2221257679877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3030364818 + ... + 3030365550.

Almost surely, 2^{2221257679872} is an apocalyptic number.

2221257679872 is a gapful number since it is divisible by the number (22) 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 2221257679872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863319017472).

2221257679872 is an abundant number, since it is smaller than the sum of its proper divisors (5505380355072).

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

2221257679872 is a wasteful number, since it uses less digits than its factorization.

2221257679872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1336 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 60.

The spelling of 2221257679872 in words is "two trillion, two hundred twenty-one billion, two hundred fifty-seven million, six hundred seventy-nine thousand, eight hundred seventy-two".