2267350880256 has 1560 divisors, whose sum is σ = 8894309402880. Its totient is φ = 568531353600.

The previous prime is 2267350880237. The next prime is 2267350880261. The reversal of 2267350880256 is 6520880537622.

It is a happy number.

2267350880256 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 3 + 508 + 80 + 2 + 56 = 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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5543644980 + ... + 5543645388.

Almost surely, 2^{2267350880256} 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 2267350880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447154701440).

2267350880256 is an abundant number, since it is smaller than the sum of its proper divisors (6626958522624).

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

2267350880256 is a wasteful number, since it uses less digits than its factorization.

2267350880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2267350880256 in words is "two trillion, two hundred sixty-seven billion, three hundred fifty million, eight hundred eighty thousand, two hundred fifty-six".