2220576768 has 312 divisors, whose sum is σ = 7012544448. Its totient is φ = 700710912.

The previous prime is 2220576749. The next prime is 2220576821. The reversal of 2220576768 is 8676750222.

2220576768 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 576 + 76 + 8 = 666.

It is a super-2 number, since 2×2220576768² = 9861922365162651648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22892496 + ... + 22892592.

It is an arithmetic number, because the mean of its divisors is an integer number (22476104).

Almost surely, 2^2220576768 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 2220576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506272224).

2220576768 is an abundant number, since it is smaller than the sum of its proper divisors (4791967680).

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

2220576768 is an frugal number, since it uses more digits than its factorization.

2220576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2220576768 is about 47122.9961695986. The cubic root of 2220576768 is about 1304.6337140856.

The spelling of 2220576768 in words is "two billion, two hundred twenty million, five hundred seventy-six thousand, seven hundred sixty-eight".