2456725248 has 144 divisors (see below), whose sum is σ = 7443021600. Its totient is φ = 798842880.

The previous prime is 2456725181. The next prime is 2456725279. The reversal of 2456725248 is 8425276542.

2456725248 is a `hidden beast` number, since 2 + 4 + 56 + 72 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 279058 + ... + 287726.

It is an arithmetic number, because the mean of its divisors is an integer number (51687650).

Almost surely, 2^2456725248 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 2456725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721510800).

2456725248 is an abundant number, since it is smaller than the sum of its proper divisors (4986296352).

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

2456725248 is an equidigital number, since it uses as much as digits as its factorization.

2456725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8715 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2456725248 is about 49565.3633901740. The cubic root of 2456725248 is about 1349.3321338482.

The spelling of 2456725248 in words is "two billion, four hundred fifty-six million, seven hundred twenty-five thousand, two hundred forty-eight".