2256307488 has 126 divisors (see below), whose sum is σ = 6681595347. Its totient is φ = 749684160.

The previous prime is 2256307483. The next prime is 2256307489. The reversal of 2256307488 is 8847036522.

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.

2256307488 is a `hidden beast` number, since 2 + 2 + 5 + 630 + 7 + 4 + 8 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1128153744 + 1128153744 = 33588^2 + 33588^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33588.

It is not an unprimeable number, because it can be changed into a prime (2256307483) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7254853 + ... + 7255163.

Almost surely, 2^2256307488 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 2256307488

2256307488 is an abundant number, since it is smaller than the sum of its proper divisors (4425287859).

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

2256307488 is an frugal number, since it uses more digits than its factorization.

2256307488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2256307488 is about 47500.6051329875. The cubic root of 2256307488 is about 1311.5940209781.

The spelling of 2256307488 in words is "two billion, two hundred fifty-six million, three hundred seven thousand, four hundred eighty-eight".