2267044476864 has 112 divisors (see below), whose sum is σ = 6260252769792. Its totient is φ = 722682729472.

The previous prime is 2267044476857. The next prime is 2267044476877. The reversal of 2267044476864 is 4686744407622.

2267044476864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2267044476798 and 2267044476807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23502397 + ... + 23598659.

It is an arithmetic number, because the mean of its divisors is an integer number (55895114016).

Almost surely, 2^{2267044476864} is an apocalyptic number.

2267044476864 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 2267044476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130126384896).

2267044476864 is an abundant number, since it is smaller than the sum of its proper divisors (3993208292928).

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

2267044476864 is a wasteful number, since it uses less digits than its factorization.

2267044476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101634 (or 101624 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 60.

The spelling of 2267044476864 in words is "two trillion, two hundred sixty-seven billion, forty-four million, four hundred seventy-six thousand, eight hundred sixty-four".