2567872047 has 16 divisors (see below), whose sum is σ = 3689763840. Its totient is φ = 1579130592.

The previous prime is 2567872037. The next prime is 2567872057. The reversal of 2567872047 is 7402787652.

It is an interprime number because it is at equal distance from previous prime (2567872037) and next prime (2567872057).

It is not a de Polignac number, because 2567872047 - 2⁷ = 2567871919 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2567871987 and 2567872005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567872037) 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 15 ways as a sum of consecutive naturals, for example, 35854 + ... + 80132.

It is an arithmetic number, because the mean of its divisors is an integer number (230610240).

Almost surely, 2^2567872047 is an apocalyptic number.

2567872047 is a deficient number, since it is larger than the sum of its proper divisors (1121891793).

2567872047 is a wasteful number, since it uses less digits than its factorization.

2567872047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45782.

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 2567872047 is about 50674.1753460281. The cubic root of 2567872047 is about 1369.3815111877.

The spelling of 2567872047 in words is "two billion, five hundred sixty-seven million, eight hundred seventy-two thousand, forty-seven".