2288289246768 has 960 divisors, whose sum is σ = 8177828585472. Its totient is φ = 605266421760.

The previous prime is 2288289246709. The next prime is 2288289246769. The reversal of 2288289246768 is 8676429828822.

It is a happy number.

2288289246768 is a `hidden beast` number, since 2 + 2 + 8 + 82 + 89 + 2 + 467 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2288289246696 and 2288289246705.

It is not an unprimeable number, because it can be changed into a prime (2288289246769) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4183343871 + ... + 4183344417.

Almost surely, 2^{2288289246768} is an apocalyptic number.

2288289246768 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 2288289246768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088914292736).

2288289246768 is an abundant number, since it is smaller than the sum of its proper divisors (5889539338704).

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

2288289246768 is a wasteful number, since it uses less digits than its factorization.

2288289246768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 786 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 2288289246768 in words is "two trillion, two hundred eighty-eight billion, two hundred eighty-nine million, two hundred forty-six thousand, seven hundred sixty-eight".