2268076347264 has 512 divisors, whose sum is σ = 7681232563200. Its totient is φ = 576743473152.

The previous prime is 2268076347239. The next prime is 2268076347283. The reversal of 2268076347264 is 4627436708622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1138020252 + ... + 1138022244.

It is an arithmetic number, because the mean of its divisors is an integer number (15002407350).

Almost surely, 2^{2268076347264} is an apocalyptic number.

2268076347264 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 2268076347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840616281600).

2268076347264 is an abundant number, since it is smaller than the sum of its proper divisors (5413156215936).

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

2268076347264 is a wasteful number, since it uses less digits than its factorization.

2268076347264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3182 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 2268076347264 in words is "two trillion, two hundred sixty-eight billion, seventy-six million, three hundred forty-seven thousand, two hundred sixty-four".