2267555472 has 720 divisors, whose sum is σ = 8920679040. Its totient is φ = 543449088.

The previous prime is 2267555453. The next prime is 2267555473. The reversal of 2267555472 is 2745557622.

2267555472 is a `hidden beast` number, since 2 + 26 + 7 + 5 + 554 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (2267555473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78191554 + ... + 78191582.

It is an arithmetic number, because the mean of its divisors is an integer number (12389832).

Almost surely, 2^2267555472 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 2267555472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460339520).

2267555472 is an abundant number, since it is smaller than the sum of its proper divisors (6653123568).

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

2267555472 is a wasteful number, since it uses less digits than its factorization.

2267555472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The square root of 2267555472 is about 47618.8562651393. The cubic root of 2267555472 is about 1313.7698977825.

The spelling of 2267555472 in words is "two billion, two hundred sixty-seven million, five hundred fifty-five thousand, four hundred seventy-two".