2227380768 has 162 divisors, whose sum is σ = 6641877879. Its totient is φ = 735251904.

The previous prime is 2227380761. The next prime is 2227380781. The reversal of 2227380768 is 8670837222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1113690384 + 1113690384 = 33372^2 + 33372^2 .

It is a tau number, because it is divible by the number of its divisors (162).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33372.

It is a super-2 number, since 2×2227380768² = 9922450171312539648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2227380761) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21625005 + ... + 21625107.

Almost surely, 2^2227380768 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 2227380768

2227380768 is an abundant number, since it is smaller than the sum of its proper divisors (4414497111).

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

2227380768 is an frugal number, since it uses more digits than its factorization.

2227380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2227380768 is about 47195.1350035149. The cubic root of 2227380768 is about 1305.9648512656.

It can be divided in two parts, 22273 and 80768, that added together give a square (103041 = 321²).

The spelling of 2227380768 in words is "two billion, two hundred twenty-seven million, three hundred eighty thousand, seven hundred sixty-eight".