2216131488 has 120 divisors (see below), whose sum is σ = 6565537440. Its totient is φ = 733276800.

The previous prime is 2216131469. The next prime is 2216131493. The reversal of 2216131488 is 8841316122.

2216131488 is a `hidden beast` number, since 2 + 21 + 613 + 14 + 8 + 8 = 666.

It is a super-2 number, since 2×2216131488² = 9822477544210188288, which contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 357213 + ... + 363363.

It is an arithmetic number, because the mean of its divisors is an integer number (54712812).

Almost surely, 2^2216131488 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 2216131488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282768720).

2216131488 is an abundant number, since it is smaller than the sum of its proper divisors (4349405952).

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

2216131488 is a wasteful number, since it uses less digits than its factorization.

2216131488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 6295 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2216131488 is about 47075.8057604965. The cubic root of 2216131488 is about 1303.7625685871.

The spelling of 2216131488 in words is "two billion, two hundred sixteen million, one hundred thirty-one thousand, four hundred eighty-eight".