2471648256 has 616 divisors, whose sum is σ = 9450655104. Its totient is φ = 627056640.

The previous prime is 2471648251. The next prime is 2471648293. The reversal of 2471648256 is 6528461742.

It is a tau number, because it is divible by the number of its divisors (616).

It is a super-2 number, since 2×2471648256² = 12218090202775683072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2471648251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57480171 + ... + 57480213.

Almost surely, 2^2471648256 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 2471648256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725327552).

2471648256 is an abundant number, since it is smaller than the sum of its proper divisors (6979006848).

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

2471648256 is an equidigital number, since it uses as much as digits as its factorization.

2471648256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

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

The square root of 2471648256 is about 49715.6741480994. The cubic root of 2471648256 is about 1352.0587255516.

The spelling of 2471648256 in words is "two billion, four hundred seventy-one million, six hundred forty-eight thousand, two hundred fifty-six".