2505776769 has 16 divisors (see below), whose sum is σ = 3738974400. Its totient is φ = 1658497248.

The previous prime is 2505776743. The next prime is 2505776773. The reversal of 2505776769 is 9676775052.

2505776769 is a `hidden beast` number, since 2 + 5 + 0 + 577 + 6 + 7 + 69 = 666.

It is not a de Polignac number, because 2505776769 - 2⁸ = 2505776513 is a prime.

It is a super-2 number, since 2×2505776769² = 12557834432120158722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2505776719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330084 + ... + 337589.

It is an arithmetic number, because the mean of its divisors is an integer number (233685900).

Almost surely, 2^2505776769 is an apocalyptic number.

It is an amenable number.

2505776769 is a deficient number, since it is larger than the sum of its proper divisors (1233197631).

2505776769 is a wasteful number, since it uses less digits than its factorization.

2505776769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667821 (or 667815 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The square root of 2505776769 is about 50057.7343574397. The cubic root of 2505776769 is about 1358.2533750500.

The spelling of 2505776769 in words is "two billion, five hundred five million, seven hundred seventy-six thousand, seven hundred sixty-nine".