2500109766 has 128 divisors (see below), whose sum is σ = 7040977920. Its totient is φ = 638668800.

The previous prime is 2500109753. The next prime is 2500109771. The reversal of 2500109766 is 6679010052.

2500109766 is a `hidden beast` number, since 2 + 500 + 1 + 0 + 97 + 66 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2500109766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248710 + ... + 258566.

It is an arithmetic number, because the mean of its divisors is an integer number (55007640).

Almost surely, 2^2500109766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2500109766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520488960).

2500109766 is an abundant number, since it is smaller than the sum of its proper divisors (4540868154).

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

2500109766 is a wasteful number, since it uses less digits than its factorization.

2500109766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9947 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2500109766 is about 50001.0976479517. The cubic root of 2500109766 is about 1357.2286713910.

The spelling of 2500109766 in words is "two billion, five hundred million, one hundred nine thousand, seven hundred sixty-six".