2648016960 has 112 divisors (see below), whose sum is σ = 8417673792. Its totient is φ = 705280000.

The previous prime is 2648016953. The next prime is 2648016983. The reversal of 2648016960 is 696108462.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1392010 + ... + 1393910.

Almost surely, 2^2648016960 is an apocalyptic number.

2648016960 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 2648016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208836896).

2648016960 is an abundant number, since it is smaller than the sum of its proper divisors (5769656832).

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

2648016960 is a wasteful number, since it uses less digits than its factorization.

2648016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2648016960 is about 51458.8861130903. The cubic root of 2648016960 is about 1383.4822369672.

The spelling of 2648016960 in words is "two billion, six hundred forty-eight million, sixteen thousand, nine hundred sixty".