2322242400 has 144 divisors (see below), whose sum is σ = 7630386624. Its totient is φ = 613409280.

The previous prime is 2322242393. The next prime is 2322242401. The reversal of 2322242400 is 42422232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322242401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252279 + ... + 261321.

It is an arithmetic number, because the mean of its divisors is an integer number (52988796).

Almost surely, 2^2322242400 is an apocalyptic number.

2322242400 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 2322242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815193312).

2322242400 is an abundant number, since it is smaller than the sum of its proper divisors (5308144224).

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

2322242400 is a wasteful number, since it uses less digits than its factorization.

2322242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9173 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 2322242400 is about 48189.6503411262. The cubic root of 2322242400 is about 1324.2475661475.

Adding to 2322242400 its reverse (42422232), we get a palindrome (2364664632).

The spelling of 2322242400 in words is "two billion, three hundred twenty-two million, two hundred forty-two thousand, four hundred".