2506505777768 has 32 divisors (see below), whose sum is σ = 4703917133160. Its totient is φ = 1252128134400.

The previous prime is 2506505777767. The next prime is 2506505777773. The reversal of 2506505777768 is 8677775056052.

2506505777768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 863602207204 + 1642903570564 = 929302^2 + 1281758^2 .

It is not an unprimeable number, because it can be changed into a prime (2506505777767) 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, 156913430 + ... + 156929402.

Almost surely, 2^{2506505777768} is an apocalyptic number.

It is an amenable number.

2506505777768 is a deficient number, since it is larger than the sum of its proper divisors (2197411355392).

2506505777768 is a wasteful number, since it uses less digits than its factorization.

2506505777768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32357 (or 32353 counting only the distinct ones).

The product of its (nonzero) digits is 172872000, while the sum is 65.

The spelling of 2506505777768 in words is "two trillion, five hundred six billion, five hundred five million, seven hundred seventy-seven thousand, seven hundred sixty-eight".