2267085072 has 80 divisors (see below), whose sum is σ = 6721311872. Its totient is φ = 645027840.

The previous prime is 2267085061. The next prime is 2267085103. The reversal of 2267085072 is 2705807622.

It is a self number, because there is not a number n which added to its sum of digits gives 2267085072.

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, 66978 + ... + 94974.

Almost surely, 2^2267085072 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 2267085072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360655936).

2267085072 is an abundant number, since it is smaller than the sum of its proper divisors (4454226800).

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

2267085072 is a wasteful number, since it uses less digits than its factorization.

2267085072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28256 (or 28250 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 2267085072 is about 47613.9167891069. The cubic root of 2267085072 is about 1313.6790451578.

The spelling of 2267085072 in words is "two billion, two hundred sixty-seven million, eighty-five thousand, seventy-two".