2268742226784 has 192 divisors, whose sum is σ = 6565369386240. Its totient is φ = 680284293120.

The previous prime is 2268742226759. The next prime is 2268742226831. The reversal of 2268742226784 is 4876222478622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39388534 + ... + 39446090.

It is an arithmetic number, because the mean of its divisors is an integer number (34194632220).

Almost surely, 2^{2268742226784} is an apocalyptic number.

2268742226784 is a gapful number since it is divisible by the number (24) 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 2268742226784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282684693120).

2268742226784 is an abundant number, since it is smaller than the sum of its proper divisors (4296627159456).

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

2268742226784 is a wasteful number, since it uses less digits than its factorization.

2268742226784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57973 (or 57965 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 60.

The spelling of 2268742226784 in words is "two trillion, two hundred sixty-eight billion, seven hundred forty-two million, two hundred twenty-six thousand, seven hundred eighty-four".