2168220672 has 264 divisors, whose sum is σ = 6690644064. Its totient is φ = 674758656.

The previous prime is 2168220629. The next prime is 2168220673. The reversal of 2168220672 is 2760228612.

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

It is not an unprimeable number, because it can be changed into a prime (2168220673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11234208 + ... + 11234400.

Almost surely, 2^2168220672 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 2168220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3345322032).

2168220672 is an abundant number, since it is smaller than the sum of its proper divisors (4522423392).

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

2168220672 is a wasteful number, since it uses less digits than its factorization.

2168220672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2168220672 is about 46564.1565155002. The cubic root of 2168220672 is about 1294.2986362299.

The spelling of 2168220672 in words is "two billion, one hundred sixty-eight million, two hundred twenty thousand, six hundred seventy-two".