2560446720 has 576 divisors, whose sum is σ = 10095724800. Its totient is φ = 610467840.

The previous prime is 2560446709. The next prime is 2560446737. The reversal of 2560446720 is 276440652.

2560446720 is a `hidden beast` number, since 2 + 5 + 604 + 46 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 18420411 + ... + 18420549.

It is an arithmetic number, because the mean of its divisors is an integer number (17527300).

Almost surely, 2^2560446720 is an apocalyptic number.

2560446720 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 2560446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047862400).

2560446720 is an abundant number, since it is smaller than the sum of its proper divisors (7535278080).

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

2560446720 is a wasteful number, since it uses less digits than its factorization.

2560446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2560446720 is about 50600.8569097402. The cubic root of 2560446720 is about 1368.0603235942.

The spelling of 2560446720 in words is "two billion, five hundred sixty million, four hundred forty-six thousand, seven hundred twenty".