2867117682 has 64 divisors (see below), whose sum is σ = 6802338816. Its totient is φ = 794180160.

The previous prime is 2867117681. The next prime is 2867117717.

2867117682 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2867117681) 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, 72153 + ... + 104595.

It is an arithmetic number, because the mean of its divisors is an integer number (106286544).

Almost surely, 2^2867117682 is an apocalyptic number.

2867117682 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2867117682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401169408).

2867117682 is an abundant number, since it is smaller than the sum of its proper divisors (3935221134).

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

2867117682 is a wasteful number, since it uses less digits than its factorization.

2867117682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32575.

The product of its digits is 451584, while the sum is 48.

The square root of 2867117682 is about 53545.4730299397. The cubic root of 2867117682 is about 1420.6328069583.

The spelling of 2867117682 in words is "two billion, eight hundred sixty-seven million, one hundred seventeen thousand, six hundred eighty-two".