2221431168 has 256 divisors, whose sum is σ = 6711828480. Its totient is φ = 645120000.

The previous prime is 2221431137. The next prime is 2221431187. The reversal of 2221431168 is 8611341222.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17491521 + ... + 17491647.

It is an arithmetic number, because the mean of its divisors is an integer number (26218080).

Almost surely, 2^2221431168 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 2221431168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355914240).

2221431168 is an abundant number, since it is smaller than the sum of its proper divisors (4490397312).

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

2221431168 is a wasteful number, since it uses less digits than its factorization.

2221431168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 2221431168 is about 47132.0609352063. The cubic root of 2221431168 is about 1304.8010183837.

The spelling of 2221431168 in words is "two billion, two hundred twenty-one million, four hundred thirty-one thousand, one hundred sixty-eight".