2267533216 has 24 divisors (see below), whose sum is σ = 4807607364. Its totient is φ = 1046553600.

The previous prime is 2267533211. The next prime is 2267533217. The reversal of 2267533216 is 6123357622.

2267533216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2266140816 + 1392400 = 47604^2 + 1180^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2267533211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2724985 + ... + 2725816.

Almost surely, 2^2267533216 is an apocalyptic number.

2267533216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2267533216 is an abundant number, since it is smaller than the sum of its proper divisors (2540074148).

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

2267533216 is a wasteful number, since it uses less digits than its factorization.

2267533216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5450824 (or 5450816 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The square root of 2267533216 is about 47618.6225756269. The cubic root of 2267533216 is about 1313.7655995622.

The spelling of 2267533216 in words is "two billion, two hundred sixty-seven million, five hundred thirty-three thousand, two hundred sixteen".