2580072642 has 32 divisors (see below), whose sum is σ = 6552566400. Its totient is φ = 737163504.

The previous prime is 2580072629. The next prime is 2580072731. The reversal of 2580072642 is 2462700852.

2580072642 is a `hidden beast` number, since 2 + 5 + 8 + 0 + 0 + 7 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2580072597 and 2580072606.

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 15 ways as a sum of consecutive naturals, for example, 3412417 + ... + 3413172.

It is an arithmetic number, because the mean of its divisors is an integer number (204767700).

Almost surely, 2^2580072642 is an apocalyptic number.

2580072642 is an abundant number, since it is smaller than the sum of its proper divisors (3972493758).

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

2580072642 is a wasteful number, since it uses less digits than its factorization.

2580072642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825607 (or 6825601 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2580072642 is about 50794.4154607571. The cubic root of 2580072642 is about 1371.5468421718.

The spelling of 2580072642 in words is "two billion, five hundred eighty million, seventy-two thousand, six hundred forty-two".