2322406400 has 132 divisors (see below), whose sum is σ = 5831444472. Its totient is φ = 916930560.

The previous prime is 2322406399. The next prime is 2322406403. The reversal of 2322406400 is 46042232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322406403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2124254 + ... + 2125346.

Almost surely, 2^2322406400 is an apocalyptic number.

2322406400 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 2322406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915722236).

2322406400 is an abundant number, since it is smaller than the sum of its proper divisors (3509038072).

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

2322406400 is a wasteful number, since it uses less digits than its factorization.

2322406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2322406400 is about 48191.3519212732. The cubic root of 2322406400 is about 1324.2787388176.

Adding to 2322406400 its reverse (46042232), we get a palindrome (2368448632).

The spelling of 2322406400 in words is "two billion, three hundred twenty-two million, four hundred six thousand, four hundred".