2648256768 has 108 divisors (see below), whose sum is σ = 7918562288. Its totient is φ = 882731520.

The previous prime is 2648256763. The next prime is 2648256799. The reversal of 2648256768 is 8676528462.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2648256763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40923 + ... + 83493.

Almost surely, 2^2648256768 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 2648256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959281144).

2648256768 is an abundant number, since it is smaller than the sum of its proper divisors (5270305520).

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

2648256768 is an frugal number, since it uses more digits than its factorization.

2648256768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42602 (or 42576 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2648256768 is about 51461.2161535267. The cubic root of 2648256768 is about 1383.5239990478.

The spelling of 2648256768 in words is "two billion, six hundred forty-eight million, two hundred fifty-six thousand, seven hundred sixty-eight".