2560006848 has 224 divisors, whose sum is σ = 8000487936. Its totient is φ = 707346432.

The previous prime is 2560006843. The next prime is 2560006859. The reversal of 2560006848 is 8486000652.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2560006843) by changing a digit.

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, 5912040 + ... + 5912472.

It is an arithmetic number, because the mean of its divisors is an integer number (35716464).

Almost surely, 2^2560006848 is an apocalyptic number.

2560006848 is a gapful number since it is divisible by the number (28) 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 2560006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000243968).

2560006848 is an abundant number, since it is smaller than the sum of its proper divisors (5440481088).

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

2560006848 is a wasteful number, since it uses less digits than its factorization.

2560006848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 2560006848 is about 50596.5102353907. The cubic root of 2560006848 is about 1367.9819771231.

The spelling of 2560006848 in words is "two billion, five hundred sixty million, six thousand, eight hundred forty-eight".