2216181888 has 216 divisors, whose sum is σ = 6824070045. Its totient is φ = 690259968.

The previous prime is 2216181883. The next prime is 2216181893. The reversal of 2216181888 is 8881816122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2216181888 is a `hidden beast` number, since 2 + 21 + 618 + 1 + 8 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2216181883) and next prime (2216181893).

It can be written as a sum of positive squares in 2 ways, for example, as 2205993024 + 10188864 = 46968^2 + 3192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33288.

It is a super-2 number, since 2×2216181888² = 9822924321398489088, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2216181883) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30358620 + ... + 30358692.

Almost surely, 2^2216181888 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 2216181888

2216181888 is an abundant number, since it is smaller than the sum of its proper divisors (4607888157).

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

2216181888 is an equidigital number, since it uses as much as digits as its factorization.

2216181888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 97 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 2216181888 is about 47076.3410642756. The cubic root of 2216181888 is about 1303.7724520462.

The spelling of 2216181888 in words is "two billion, two hundred sixteen million, one hundred eighty-one thousand, eight hundred eighty-eight".