2564630681 has 8 divisors (see below), whose sum is σ = 2590583424. Its totient is φ = 2538698400.

The previous prime is 2564630611. The next prime is 2564630687. The reversal of 2564630681 is 1860364652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2564630681 - 2³⁰ = 1490888857 is a prime.

It is a super-3 number, since 3×2564630681³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564630687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429740 + ... + 435666.

It is an arithmetic number, because the mean of its divisors is an integer number (323822928).

Almost surely, 2^2564630681 is an apocalyptic number.

It is an amenable number.

2564630681 is a deficient number, since it is larger than the sum of its proper divisors (25952743).

2564630681 is a wasteful number, since it uses less digits than its factorization.

2564630681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231.

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 2564630681 is about 50642.1828222283. The cubic root of 2564630681 is about 1368.8050889582.

The spelling of 2564630681 in words is "two billion, five hundred sixty-four million, six hundred thirty thousand, six hundred eighty-one".