2509682659 has 48 divisors (see below), whose sum is σ = 3033676800. Its totient is φ = 2067024960.

The previous prime is 2509682633. The next prime is 2509682683. The reversal of 2509682659 is 9562869052.

It is a happy number.

It is not a de Polignac number, because 2509682659 - 2⁵ = 2509682627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2509682629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5239182 + ... + 5239660.

It is an arithmetic number, because the mean of its divisors is an integer number (63201600).

Almost surely, 2^2509682659 is an apocalyptic number.

2509682659 is a deficient number, since it is larger than the sum of its proper divisors (523994141).

2509682659 is a wasteful number, since it uses less digits than its factorization.

2509682659 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The square root of 2509682659 is about 50096.7330172338. The cubic root of 2509682659 is about 1358.9587363882.

The spelling of 2509682659 in words is "two billion, five hundred nine million, six hundred eighty-two thousand, six hundred fifty-nine".