2648744960 has 176 divisors, whose sum is σ = 6653503296. Its totient is φ = 1010860032.

The previous prime is 2648744939. The next prime is 2648744999. The reversal of 2648744960 is 694478462.

It is a junction number, because it is equal to n+sod(n) for n = 2648744899 and 2648744908.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11668367 + ... + 11668593.

It is an arithmetic number, because the mean of its divisors is an integer number (37803996).

Almost surely, 2^2648744960 is an apocalyptic number.

2648744960 is a gapful number since it is divisible by the number (20) 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 2648744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326751648).

2648744960 is an abundant number, since it is smaller than the sum of its proper divisors (4004758336).

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

2648744960 is a wasteful number, since it uses less digits than its factorization.

2648744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The square root of 2648744960 is about 51465.9592352071. The cubic root of 2648744960 is about 1383.6090089126.

The spelling of 2648744960 in words is "two billion, six hundred forty-eight million, seven hundred forty-four thousand, nine hundred sixty".