2509282656 has 72 divisors (see below), whose sum is σ = 7309850184. Its totient is φ = 816023040.

The previous prime is 2509282651. The next prime is 2509282661. The reversal of 2509282656 is 6562829052.

2509282656 is a `hidden beast` number, since 2 + 509 + 2 + 82 + 65 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2509282651) and next prime (2509282661).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509282651) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94446 + ... + 118061.

It is an arithmetic number, because the mean of its divisors is an integer number (101525697).

Almost surely, 2^2509282656 is an apocalyptic number.

It is an amenable number.

2509282656 is an abundant number, since it is smaller than the sum of its proper divisors (4800567528).

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

2509282656 is a wasteful number, since it uses less digits than its factorization.

2509282656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212564 (or 212553 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2509282656 is about 50092.7405519003. The cubic root of 2509282656 is about 1358.8865338395.

The spelling of 2509282656 in words is "two billion, five hundred nine million, two hundred eighty-two thousand, six hundred fifty-six".