2288734272 has 168 divisors, whose sum is σ = 7361346720. Its totient is φ = 691557120.

The previous prime is 2288734187. The next prime is 2288734277. The reversal of 2288734272 is 2724378822.

2288734272 is a `hidden beast` number, since 228 + 87 + 342 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (2288734277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6595603 + ... + 6595949.

It is an arithmetic number, because the mean of its divisors is an integer number (43817540).

Almost surely, 2^2288734272 is an apocalyptic number.

2288734272 is a gapful number since it is divisible by the number (22) 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 2288734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680673360).

2288734272 is an abundant number, since it is smaller than the sum of its proper divisors (5072612448).

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

2288734272 is an equidigital number, since it uses as much as digits as its factorization.

2288734272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its digits is 602112, while the sum is 45.

The square root of 2288734272 is about 47840.7177203687. The cubic root of 2288734272 is about 1317.8474006324.

The spelling of 2288734272 in words is "two billion, two hundred eighty-eight million, seven hundred thirty-four thousand, two hundred seventy-two".