2509682656 has 24 divisors (see below), whose sum is σ = 5321010744. Its totient is φ = 1158314880.

The previous prime is 2509682633. The next prime is 2509682683. The reversal of 2509682656 is 6562869052.

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 3 ways as a sum of consecutive naturals, for example, 3016030 + ... + 3016861.

It is an arithmetic number, because the mean of its divisors is an integer number (221708781).

Almost surely, 2^2509682656 is an apocalyptic number.

2509682656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2509682656 is an abundant number, since it is smaller than the sum of its proper divisors (2811328088).

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

2509682656 is a wasteful number, since it uses less digits than its factorization.

2509682656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032914 (or 6032906 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The square root of 2509682656 is about 50096.7329872917. The cubic root of 2509682656 is about 1358.9587358467.

The spelling of 2509682656 in words is "two billion, five hundred nine million, six hundred eighty-two thousand, six hundred fifty-six".