2509055676 has 144 divisors (see below), whose sum is σ = 6788605824. Its totient is φ = 809839296.

The previous prime is 2509055629. The next prime is 2509055701. The reversal of 2509055676 is 6765509052.

2509055676 is a `hidden beast` number, since 2 + 5 + 0 + 90 + 556 + 7 + 6 = 666.

2509055676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7230535 + ... + 7230881.

It is an arithmetic number, because the mean of its divisors is an integer number (47143096).

Almost surely, 2^2509055676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509055676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394302912).

2509055676 is an abundant number, since it is smaller than the sum of its proper divisors (4279550148).

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

2509055676 is a wasteful number, since it uses less digits than its factorization.

2509055676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 2509055676 is about 50090.4749029194. The cubic root of 2509055676 is about 1358.8455593980.

The spelling of 2509055676 in words is "two billion, five hundred nine million, fifty-five thousand, six hundred seventy-six".