2213160432 has 320 divisors, whose sum is σ = 7268106240. Its totient is φ = 566092800.

The previous prime is 2213160427. The next prime is 2213160437. The reversal of 2213160432 is 2340613122.

It is an interprime number because it is at equal distance from previous prime (2213160427) and next prime (2213160437).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213160437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10488807 + ... + 10489017.

It is an arithmetic number, because the mean of its divisors is an integer number (22712832).

Almost surely, 2^2213160432 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 2213160432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634053120).

2213160432 is an abundant number, since it is smaller than the sum of its proper divisors (5054945808).

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

2213160432 is a wasteful number, since it uses less digits than its factorization.

2213160432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2213160432 is about 47044.2390947074. The cubic root of 2213160432 is about 1303.1796783962.

Adding to 2213160432 its reverse (2340613122), we get a palindrome (4553773554).

The spelling of 2213160432 in words is "two billion, two hundred thirteen million, one hundred sixty thousand, four hundred thirty-two".