2216431140 has 384 divisors, whose sum is σ = 8151736320. Its totient is φ = 436531200.

The previous prime is 2216431099. The next prime is 2216431159. The reversal of 2216431140 is 411346122.

It is a self number, because there is not a number n which added to its sum of digits gives 2216431140.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9512464 + ... + 9512696.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^2216431140 is an apocalyptic number.

2216431140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075868160).

2216431140 is an abundant number, since it is smaller than the sum of its proper divisors (5935305180).

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

2216431140 is a wasteful number, since it uses less digits than its factorization.

2216431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2216431140 is about 47078.9883068870. The cubic root of 2216431140 is about 1303.8213282555.

Adding to 2216431140 its reverse (411346122), we get a palindrome (2627777262).

The spelling of 2216431140 in words is "two billion, two hundred sixteen million, four hundred thirty-one thousand, one hundred forty".