2560644506 has 32 divisors (see below), whose sum is σ = 4544570880. Its totient is φ = 1059336576.

The previous prime is 2560644503. The next prime is 2560644529. The reversal of 2560644506 is 6054460652.

It is a super-3 number, since 3×2560644506³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2560644506.

It is not an unprimeable number, because it can be changed into a prime (2560644503) 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 15 ways as a sum of consecutive naturals, for example, 21380 + ... + 74688.

It is an arithmetic number, because the mean of its divisors is an integer number (142017840).

Almost surely, 2^2560644506 is an apocalyptic number.

2560644506 is a deficient number, since it is larger than the sum of its proper divisors (1983926374).

2560644506 is a wasteful number, since it uses less digits than its factorization.

2560644506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53438.

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 2560644506 is about 50602.8112460168. The cubic root of 2560644506 is about 1368.0955487250.

The spelling of 2560644506 in words is "two billion, five hundred sixty million, six hundred forty-four thousand, five hundred six".