2564342135 has 16 divisors (see below), whose sum is σ = 3271881600. Its totient is φ = 1922704896.

The previous prime is 2564342129. The next prime is 2564342147. The reversal of 2564342135 is 5312434652.

2564342135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2564342135 - 2⁴ = 2564342119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2564342095 and 2564342104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42800 + ... + 83429.

It is an arithmetic number, because the mean of its divisors is an integer number (204492600).

Almost surely, 2^2564342135 is an apocalyptic number.

2564342135 is a deficient number, since it is larger than the sum of its proper divisors (707539465).

2564342135 is a wasteful number, since it uses less digits than its factorization.

2564342135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126490.

The product of its digits is 86400, while the sum is 35.

The square root of 2564342135 is about 50639.3338720011. Note that the first 3 decimals coincide. The cubic root of 2564342135 is about 1368.7537523858.

Adding to 2564342135 its reverse (5312434652), we get a palindrome (7876776787).

The spelling of 2564342135 in words is "two billion, five hundred sixty-four million, three hundred forty-two thousand, one hundred thirty-five".