2232414124304 has 160 divisors (see below), whose sum is σ = 5348031037440. Its totient is φ = 879083020800.

The previous prime is 2232414124207. The next prime is 2232414124309. The reversal of 2232414124304 is 4034214142322.

It is a happy number.

It is a super-3 number, since 3×2232414124304³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232414124309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367230737 + ... + 367236815.

It is an arithmetic number, because the mean of its divisors is an integer number (33425193984).

Almost surely, 2^{2232414124304} 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 2232414124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674015518720).

2232414124304 is an abundant number, since it is smaller than the sum of its proper divisors (3115616913136).

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

2232414124304 is a wasteful number, since it uses less digits than its factorization.

2232414124304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7229 (or 7223 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2232414124304 its reverse (4034214142322), we get a palindrome (6266628266626).

The spelling of 2232414124304 in words is "two trillion, two hundred thirty-two billion, four hundred fourteen million, one hundred twenty-four thousand, three hundred four".