2564361426735 has 12 divisors (see below), whose sum is σ = 4444893139752. Its totient is φ = 1367659427568.

The previous prime is 2564361426721. The next prime is 2564361426751. The reversal of 2564361426735 is 5376241634652.

2564361426735 is a `hidden beast` number, since 2 + 5 + 6 + 436 + 142 + 67 + 3 + 5 = 666.

It is not a de Polignac number, because 2564361426735 - 2⁸ = 2564361426479 is a prime.

It is a super-3 number, since 3×2564361426735³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28492904697 + ... + 28492904786.

It is an arithmetic number, because the mean of its divisors is an integer number (370407761646).

Almost surely, 2^{2564361426735} is an apocalyptic number.

2564361426735 is a deficient number, since it is larger than the sum of its proper divisors (1880531713017).

2564361426735 is a wasteful number, since it uses less digits than its factorization.

2564361426735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56985809494 (or 56985809491 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 54.

The spelling of 2564361426735 in words is "two trillion, five hundred sixty-four billion, three hundred sixty-one million, four hundred twenty-six thousand, seven hundred thirty-five".