2560507128 has 48 divisors (see below), whose sum is σ = 6955350480. Its totient is φ = 850961664.

The previous prime is 2560507073. The next prime is 2560507129. The reversal of 2560507128 is 8217050652.

It is a happy number.

2560507128 is a `hidden beast` number, since 2 + 560 + 5 + 0 + 71 + 28 = 666.

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 = 2560507092 and 2560507101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2560507129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28500 + ... + 77027.

It is an arithmetic number, because the mean of its divisors is an integer number (144903135).

Almost surely, 2^2560507128 is an apocalyptic number.

It is an amenable number.

2560507128 is an abundant number, since it is smaller than the sum of its proper divisors (4394843352).

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

2560507128 is a wasteful number, since it uses less digits than its factorization.

2560507128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105876 (or 105869 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2560507128 is about 50601.4538131070. The cubic root of 2560507128 is about 1368.0710822816.

The spelling of 2560507128 in words is "two billion, five hundred sixty million, five hundred seven thousand, one hundred twenty-eight".