2275527968 has 144 divisors (see below), whose sum is σ = 5438651904. Its totient is φ = 916945920.

The previous prime is 2275527967. The next prime is 2275527971. The reversal of 2275527968 is 8697255722.

It is a super-3 number, since 3×2275527968³ (a number of 29 digits) contains 333 as substring.

Its product of digits (4233600) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (2275527967) 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 23 ways as a sum of consecutive naturals, for example, 31171580 + ... + 31171652.

It is an arithmetic number, because the mean of its divisors is an integer number (37768416).

Almost surely, 2^2275527968 is an apocalyptic number.

2275527968 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 2275527968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719325952).

2275527968 is an abundant number, since it is smaller than the sum of its proper divisors (3163123936).

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

2275527968 is an equidigital number, since it uses as much as digits as its factorization.

2275527968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 180 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 53.

The square root of 2275527968 is about 47702.4943582618. The cubic root of 2275527968 is about 1315.3077909160.

The spelling of 2275527968 in words is "two billion, two hundred seventy-five million, five hundred twenty-seven thousand, nine hundred sixty-eight".