2167627968 has 336 divisors, whose sum is σ = 7189378560. Its totient is φ = 618240000.

The previous prime is 2167627967. The next prime is 2167627981. The reversal of 2167627968 is 8697267612.

2167627968 is a `hidden beast` number, since 2 + 1 + 6 + 7 + 627 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×2167627968² = 9397222015311618048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2167627961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8635843 + ... + 8636093.

It is an arithmetic number, because the mean of its divisors is an integer number (21396960).

Almost surely, 2^2167627968 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 2167627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

2167627968 is an abundant number, since it is smaller than the sum of its proper divisors (5021750592).

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

2167627968 is a wasteful number, since it uses less digits than its factorization.

2167627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 2167627968 is about 46557.7917002085. The cubic root of 2167627968 is about 1294.1806891499.

The spelling of 2167627968 in words is "two billion, one hundred sixty-seven million, six hundred twenty-seven thousand, nine hundred sixty-eight".