2560048128 has 132 divisors (see below), whose sum is σ = 8064410328. Its totient is φ = 775741440.

The previous prime is 2560048121. The next prime is 2560048147. The reversal of 2560048128 is 8218400652.

2560048128 is a `hidden beast` number, since 2 + 5 + 600 + 48 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a junction number, because it is equal to n+sod(n) for n = 2560048092 and 2560048101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560048121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88750 + ... + 114002.

Almost surely, 2^2560048128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2560048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032205164).

2560048128 is an abundant number, since it is smaller than the sum of its proper divisors (5504362200).

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

2560048128 is a wasteful number, since it uses less digits than its factorization.

2560048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25290 (or 25269 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2560048128 is about 50596.9181670188. The cubic root of 2560048128 is about 1367.9893299670.

The spelling of 2560048128 in words is "two billion, five hundred sixty million, forty-eight thousand, one hundred twenty-eight".