2002564614401 has 4 divisors (see below), whose sum is σ = 2156608046292. Its totient is φ = 1848521182512.

The previous prime is 2002564614389. The next prime is 2002564614431. The reversal of 2002564614401 is 1044164652002.

It is a Cunningham number, because it is equal to 1415120²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 296236364176 + 1706328250225 = 544276^2 + 1306265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002564614401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002564614431) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77021715926 + ... + 77021715951.

It is an arithmetic number, because the mean of its divisors is an integer number (539152011573).

Almost surely, 2^{2002564614401} is an apocalyptic number.

It is an amenable number.

2002564614401 is a deficient number, since it is larger than the sum of its proper divisors (154043431891).

2002564614401 is a wasteful number, since it uses less digits than its factorization.

2002564614401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154043431890.

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 2002564614401 in words is "two trillion, two billion, five hundred sixty-four million, six hundred fourteen thousand, four hundred one".