2564337009 has 8 divisors (see below), whose sum is σ = 3682124992. Its totient is φ = 1578053520.

The previous prime is 2564336989. The next prime is 2564337011. The reversal of 2564337009 is 9007334652.

2564337009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 2564337009 - 2¹⁵ = 2564304241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 65752231 = 2564337009 / (2 + 5 + 6 + 4 + 3 + 3 + 7 + 0 + 0 + 9).

It is not an unprimeable number, because it can be changed into a prime (2564330009) 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, 32876077 + ... + 32876154.

It is an arithmetic number, because the mean of its divisors is an integer number (460265624).

Almost surely, 2^2564337009 is an apocalyptic number.

It is an amenable number.

2564337009 is a deficient number, since it is larger than the sum of its proper divisors (1117787983).

2564337009 is a wasteful number, since it uses less digits than its factorization.

2564337009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65752247.

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 2564337009 is about 50639.2832591458. The cubic root of 2564337009 is about 1368.7528403602.

The spelling of 2564337009 in words is "two billion, five hundred sixty-four million, three hundred thirty-seven thousand, nine".