2505968766 has 40 divisors (see below), whose sum is σ = 6417404400. Its totient is φ = 715990752.

The previous prime is 2505968743. The next prime is 2505968797. The reversal of 2505968766 is 6678695052.

It is a happy number.

2505968766 is a `hidden beast` number, since 2 + 505 + 9 + 68 + 76 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1103791 + ... + 1106058.

It is an arithmetic number, because the mean of its divisors is an integer number (160435110).

Almost surely, 2^2505968766 is an apocalyptic number.

2505968766 is an abundant number, since it is smaller than the sum of its proper divisors (3911435634).

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

2505968766 is a wasteful number, since it uses less digits than its factorization.

2505968766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209870 (or 2209861 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 2505968766 is about 50059.6520762979. The cubic root of 2505968766 is about 1358.2880647474.

The spelling of 2505968766 in words is "two billion, five hundred five million, nine hundred sixty-eight thousand, seven hundred sixty-six".