2221606795968 has 896 divisors, whose sum is σ = 8413943040000. Its totient is φ = 559517663232.

The previous prime is 2221606795931. The next prime is 2221606796009. The reversal of 2221606795968 is 8695976061222.

2221606795968 is a `hidden beast` number, since 2 + 22 + 16 + 0 + 6 + 7 + 9 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 347720518 + ... + 347726906.

Almost surely, 2^{2221606795968} is an apocalyptic number.

2221606795968 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 2221606795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206971520000).

2221606795968 is an abundant number, since it is smaller than the sum of its proper divisors (6192336244032).

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

2221606795968 is a wasteful number, since it uses less digits than its factorization.

2221606795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6526 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 2221606795968 in words is "two trillion, two hundred twenty-one billion, six hundred six million, seven hundred ninety-five thousand, nine hundred sixty-eight".