2564460310201 has 8 divisors (see below), whose sum is σ = 2652917256000. Its totient is φ = 2476005183120.

The previous prime is 2564460310183. The next prime is 2564460310213. The reversal of 2564460310201 is 1020130644652.

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 2564460310201 - 2⁵ = 2564460310169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2564460310501) 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, 2811900 + ... + 3610498.

It is an arithmetic number, because the mean of its divisors is an integer number (331614657000).

Almost surely, 2^{2564460310201} is an apocalyptic number.

It is an amenable number.

2564460310201 is a deficient number, since it is larger than the sum of its proper divisors (88456945799).

2564460310201 is a wasteful number, since it uses less digits than its factorization.

2564460310201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909359.

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 2564460310201 its reverse (1020130644652), we get a palindrome (3584590954853).

The spelling of 2564460310201 in words is "two trillion, five hundred sixty-four billion, four hundred sixty million, three hundred ten thousand, two hundred one".