2272144404768 has 48 divisors (see below), whose sum is σ = 6816433216320. Its totient is φ = 649184115456.

The previous prime is 2272144404763. The next prime is 2272144404797. The reversal of 2272144404768 is 8674044412722.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2272144404768² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2272144404768.

It is not an unprimeable number, because it can be changed into a prime (2272144404763) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1690582963 + ... + 1690584306.

It is an arithmetic number, because the mean of its divisors is an integer number (142009025340).

Almost surely, 2^{2272144404768} is an apocalyptic number.

2272144404768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2272144404768 is an abundant number, since it is smaller than the sum of its proper divisors (4544288811552).

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

2272144404768 is a wasteful number, since it uses less digits than its factorization.

2272144404768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381167289 (or 3381167281 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 51.

The spelling of 2272144404768 in words is "two trillion, two hundred seventy-two billion, one hundred forty-four million, four hundred four thousand, seven hundred sixty-eight".