2643968928 has 96 divisors (see below), whose sum is σ = 7398034560. Its totient is φ = 823910400.

The previous prime is 2643968917. The next prime is 2643968981. The reversal of 2643968928 is 8298693462.

2643968928 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 tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241068 + ... + 251796.

It is an arithmetic number, because the mean of its divisors is an integer number (77062860).

Almost surely, 2^2643968928 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 2643968928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3699017280).

2643968928 is an abundant number, since it is smaller than the sum of its proper divisors (4754065632).

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

2643968928 is a wasteful number, since it uses less digits than its factorization.

2643968928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910 (or 10902 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The square root of 2643968928 is about 51419.5383876596. The cubic root of 2643968928 is about 1382.7768995203.

The spelling of 2643968928 in words is "two billion, six hundred forty-three million, nine hundred sixty-eight thousand, nine hundred twenty-eight".