2232414400 has 84 divisors (see below), whose sum is σ = 5528744848. Its totient is φ = 887178240.

The previous prime is 2232414389. The next prime is 2232414409. The reversal of 2232414400 is 44142322.

It is a happy number.

It is a super-3 number, since 3×2232414400³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232414409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246757 + ... + 255643.

Almost surely, 2^2232414400 is an apocalyptic number.

2232414400 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 2232414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764372424).

2232414400 is an abundant number, since it is smaller than the sum of its proper divisors (3296330448).

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

2232414400 is a wasteful number, since it uses less digits than its factorization.

2232414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2232414400 is about 47248.4327782414. The cubic root of 2232414400 is about 1306.9478893988.

Adding to 2232414400 its reverse (44142322), we get a palindrome (2276556722).

The spelling of 2232414400 in words is "two billion, two hundred thirty-two million, four hundred fourteen thousand, four hundred".