2219622768 has 120 divisors (see below), whose sum is σ = 6792355440. Its totient is φ = 671047680.

The previous prime is 2219622761. The next prime is 2219622787. The reversal of 2219622768 is 8672269122.

2219622768 is a `hidden beast` number, since 2 + 2 + 19 + 622 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2219622761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 804880 + ... + 807632.

It is an arithmetic number, because the mean of its divisors is an integer number (56602962).

Almost surely, 2^2219622768 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 2219622768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396177720).

2219622768 is an abundant number, since it is smaller than the sum of its proper divisors (4572732672).

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

2219622768 is a wasteful number, since it uses less digits than its factorization.

2219622768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3278 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2219622768 is about 47112.8726358306. The cubic root of 2219622768 is about 1304.4468558992.

The spelling of 2219622768 in words is "two billion, two hundred nineteen million, six hundred twenty-two thousand, seven hundred sixty-eight".