2117441268 has 36 divisors (see below), whose sum is σ = 5354653668. Its totient is φ = 705519360.

The previous prime is 2117441257. The next prime is 2117441279. The reversal of 2117441268 is 8621447112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2117441257) and next prime (2117441279).

It can be written as a sum of positive squares in 2 ways, for example, as 252237924 + 1865203344 = 15882^2 + 43188^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86028 + ... + 107868.

Almost surely, 2^2117441268 is an apocalyptic number.

It is an amenable number.

2117441268 is an abundant number, since it is smaller than the sum of its proper divisors (3237212400).

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

2117441268 is a wasteful number, since it uses less digits than its factorization.

2117441268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24544 (or 24539 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2117441268 is about 46015.6632897973. The cubic root of 2117441268 is about 1284.1146213220.

The spelling of 2117441268 in words is "two billion, one hundred seventeen million, four hundred forty-one thousand, two hundred sixty-eight".