2506005879 has 8 divisors (see below), whose sum is σ = 3598367472. Its totient is φ = 1542157440.

The previous prime is 2506005833. The next prime is 2506005881. The reversal of 2506005879 is 9785006052.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2506005879 - 2⁹ = 2506005367 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 2506005879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506005889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32128242 + ... + 32128319.

It is an arithmetic number, because the mean of its divisors is an integer number (449795934).

Almost surely, 2^2506005879 is an apocalyptic number.

2506005879 is a deficient number, since it is larger than the sum of its proper divisors (1092361593).

2506005879 is a wasteful number, since it uses less digits than its factorization.

2506005879 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64256577.

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 2506005879 is about 50060.0227626796. The cubic root of 2506005879 is about 1358.2947700579.

The spelling of 2506005879 in words is "two billion, five hundred six million, five thousand, eight hundred seventy-nine".