2272027968 has 560 divisors, whose sum is σ = 8497336320. Its totient is φ = 585252864.

The previous prime is 2272027963. The next prime is 2272028107. The reversal of 2272027968 is 8697202722.

It is a super-2 number, since 2×2272027968² = 10324222174748418048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272027963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17889921 + ... + 17890047.

Almost surely, 2^2272027968 is an apocalyptic number.

2272027968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272027968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248668160).

2272027968 is an abundant number, since it is smaller than the sum of its proper divisors (6225308352).

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

2272027968 is a wasteful number, since it uses less digits than its factorization.

2272027968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2272027968 is about 47665.7945281519. The cubic root of 2272027968 is about 1314.6330845603.

The spelling of 2272027968 in words is "two billion, two hundred seventy-two million, twenty-seven thousand, nine hundred sixty-eight".