2564103193968 has 80 divisors (see below), whose sum is σ = 6663984299136. Its totient is φ = 849545498880.

The previous prime is 2564103193943. The next prime is 2564103194017. The reversal of 2564103193968 is 8693913014652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6487303 + ... + 6871193.

Almost surely, 2^{2564103193968} is an apocalyptic number.

It is an amenable number.

2564103193968 is an abundant number, since it is smaller than the sum of its proper divisors (4099881105168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2564103193968 is a wasteful number, since it uses less digits than its factorization.

2564103193968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384742 (or 384736 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 2564103193968 in words is "two trillion, five hundred sixty-four billion, one hundred three million, one hundred ninety-three thousand, nine hundred sixty-eight".