2648267748 has 288 divisors, whose sum is σ = 8389495296. Its totient is φ = 687937536.

The previous prime is 2648267731. The next prime is 2648267753. The reversal of 2648267748 is 8477628462.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2648267694 and 2648267703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11365840 + ... + 11366072.

It is an arithmetic number, because the mean of its divisors is an integer number (29130192).

Almost surely, 2^2648267748 is an apocalyptic number.

2648267748 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2648267748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194747648).

2648267748 is an abundant number, since it is smaller than the sum of its proper divisors (5741227548).

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

2648267748 is a wasteful number, since it uses less digits than its factorization.

2648267748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 358 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 2648267748 is about 51461.3228356987. The cubic root of 2648267748 is about 1383.5259111324.

The spelling of 2648267748 in words is "two billion, six hundred forty-eight million, two hundred sixty-seven thousand, seven hundred forty-eight".