2167055676 has 72 divisors (see below), whose sum is σ = 5733995904. Its totient is φ = 688770720.

The previous prime is 2167055641. The next prime is 2167055677. The reversal of 2167055676 is 6765507612.

2167055676 is a `hidden beast` number, since 2 + 16 + 70 + 5 + 567 + 6 = 666.

It is a super-2 number, since 2×2167055676² = 9392260605767633952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167055677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270115 + ... + 278021.

It is an arithmetic number, because the mean of its divisors is an integer number (79638832).

Almost surely, 2^2167055676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2167055676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866997952).

2167055676 is an abundant number, since it is smaller than the sum of its proper divisors (3566940228).

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

2167055676 is a wasteful number, since it uses less digits than its factorization.

2167055676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 2167055676 is about 46551.6452555654. The cubic root of 2167055676 is about 1294.0667836186.

The spelling of 2167055676 in words is "two billion, one hundred sixty-seven million, fifty-five thousand, six hundred seventy-six".