2768227488 has 120 divisors (see below), whose sum is σ = 8767639188. Its totient is φ = 851751936.

The previous prime is 2768227447. The next prime is 2768227489. The reversal of 2768227488 is 8847228672.

It can be written as a sum of positive squares in 2 ways, for example, as 2421820944 + 346406544 = 49212^2 + 18612^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2768227489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7381 + ... + 74772.

Almost surely, 2^2768227488 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 2768227488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383819594).

2768227488 is an abundant number, since it is smaller than the sum of its proper divisors (5999411700).

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

2768227488 is a wasteful number, since it uses less digits than its factorization.

2768227488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82188 (or 82171 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The square root of 2768227488 is about 52613.9476564912. The cubic root of 2768227488 is about 1404.1082537613.

The spelling of 2768227488 in words is "two billion, seven hundred sixty-eight million, two hundred twenty-seven thousand, four hundred eighty-eight".