2560228272 has 120 divisors (see below), whose sum is σ = 8388525600. Its totient is φ = 713640960.

The previous prime is 2560228267. The next prime is 2560228277. The reversal of 2560228272 is 2728220652.

2560228272 is a `hidden beast` number, since 2 + 5 + 602 + 28 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2560228267) and next prime (2560228277).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2560228277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10354 + ... + 72302.

It is an arithmetic number, because the mean of its divisors is an integer number (69904380).

Almost surely, 2^2560228272 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 2560228272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194262800).

2560228272 is an abundant number, since it is smaller than the sum of its proper divisors (5828297328).

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

2560228272 is a wasteful number, since it uses less digits than its factorization.

2560228272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62011 (or 62002 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2560228272 is about 50598.6983231782. The cubic root of 2560228272 is about 1368.0214165109.

The spelling of 2560228272 in words is "two billion, five hundred sixty million, two hundred twenty-eight thousand, two hundred seventy-two".