2117456641 has 8 divisors (see below), whose sum is σ = 2243856384. Its totient is φ = 1991261760.

The previous prime is 2117456633. The next prime is 2117456647. The reversal of 2117456641 is 1466547112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2117456641 - 2³ = 2117456633 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2117456641.

It is not an unprimeable number, because it can be changed into a prime (2117456647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29665 + ... + 71518.

It is an arithmetic number, because the mean of its divisors is an integer number (280482048).

Almost surely, 2^2117456641 is an apocalyptic number.

It is an amenable number.

2117456641 is a deficient number, since it is larger than the sum of its proper divisors (126399743).

2117456641 is a wasteful number, since it uses less digits than its factorization.

2117456641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102431.

The product of its digits is 40320, while the sum is 37.

The square root of 2117456641 is about 46015.8303304417. The cubic root of 2117456641 is about 1284.1177289480.

It can be divided in two parts, 21174 and 56641, that added together give a triangular number (77815 = T₃₉₄).

The spelling of 2117456641 in words is "two billion, one hundred seventeen million, four hundred fifty-six thousand, six hundred forty-one".