2102767764163 has 32 divisors (see below), whose sum is σ = 2377589760000. Its totient is φ = 1842146409600.

The previous prime is 2102767764121. The next prime is 2102767764203. The reversal of 2102767764163 is 3614677672012.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2102767764163 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102767764163.

It is not an unprimeable number, because it can be changed into a prime (2102767864163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550316793 + ... + 550320613.

It is an arithmetic number, because the mean of its divisors is an integer number (74299680000).

Almost surely, 2^{2102767764163} is an apocalyptic number.

2102767764163 is a deficient number, since it is larger than the sum of its proper divisors (274821995837).

2102767764163 is a wasteful number, since it uses less digits than its factorization.

2102767764163 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723.

The product of its (nonzero) digits is 3556224, while the sum is 52.

The spelling of 2102767764163 in words is "two trillion, one hundred two billion, seven hundred sixty-seven million, seven hundred sixty-four thousand, one hundred sixty-three".