2642428644065 has 24 divisors (see below), whose sum is σ = 3688822362600. Its totient is φ = 1811849050368.

The previous prime is 2642428644059. The next prime is 2642428644101. The reversal of 2642428644065 is 5604468242462.

It can be written as a sum of positive squares in 4 ways, for example, as 7689360721 + 2634739283344 = 87689^2 + 1623188^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2642428644065 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2642428643998 and 2642428644016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4192211 + ... + 4781159.

It is an arithmetic number, because the mean of its divisors is an integer number (153700931775).

Almost surely, 2^{2642428644065} is an apocalyptic number.

It is an amenable number.

2642428644065 is a deficient number, since it is larger than the sum of its proper divisors (1046393718535).

2642428644065 is a wasteful number, since it uses less digits than its factorization.

2642428644065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607281 (or 607274 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 53.

The spelling of 2642428644065 in words is "two trillion, six hundred forty-two billion, four hundred twenty-eight million, six hundred forty-four thousand, sixty-five".