2643048960 has 320 divisors, whose sum is σ = 9074419200. Its totient is φ = 654262272.

The previous prime is 2643048953. The next prime is 2643048971. The reversal of 2643048960 is 698403462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 8609127 + ... + 8609433.

It is an arithmetic number, because the mean of its divisors is an integer number (28357560).

Almost surely, 2^2643048960 is an apocalyptic number.

2643048960 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 2643048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537209600).

2643048960 is an abundant number, since it is smaller than the sum of its proper divisors (6431370240).

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

2643048960 is a wasteful number, since it uses less digits than its factorization.

2643048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 2643048960 is about 51410.5919047816. The cubic root of 2643048960 is about 1382.6165020137.

The spelling of 2643048960 in words is "two billion, six hundred forty-three million, forty-eight thousand, nine hundred sixty".