2268191040768 has 360 divisors, whose sum is σ = 6997504295936. Its totient is φ = 729998438400.

The previous prime is 2268191040701. The next prime is 2268191040793. The reversal of 2268191040768 is 8670401918622.

It is a happy number.

2268191040768 is a `hidden beast` number, since 226 + 8 + 1 + 9 + 1 + 0 + 407 + 6 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297619998 + ... + 297627618.

Almost surely, 2^{2268191040768} 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 2268191040768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498752147968).

2268191040768 is an abundant number, since it is smaller than the sum of its proper divisors (4729313255168).

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

2268191040768 is an equidigital number, since it uses as much as digits as its factorization.

2268191040768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8120 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2268191040768 in words is "two trillion, two hundred sixty-eight billion, one hundred ninety-one million, forty thousand, seven hundred sixty-eight".