2648367876 has 288 divisors, whose sum is σ = 8163348480. Its totient is φ = 660441600.

The previous prime is 2648367857. The next prime is 2648367881. The reversal of 2648367876 is 6787638462.

2648367876 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33523605 + ... + 33523683.

It is an arithmetic number, because the mean of its divisors is an integer number (28344960).

Almost surely, 2^2648367876 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 2648367876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081674240).

2648367876 is an abundant number, since it is smaller than the sum of its proper divisors (5514980604).

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

2648367876 is a wasteful number, since it uses less digits than its factorization.

2648367876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 2648367876 is about 51462.2956736289. The cubic root of 2648367876 is about 1383.5433474278.

The spelling of 2648367876 in words is "two billion, six hundred forty-eight million, three hundred sixty-seven thousand, eight hundred seventy-six".