2434225200 has 240 divisors, whose sum is σ = 8801222400. Its totient is φ = 569676800.

The previous prime is 2434225151. The next prime is 2434225201. The reversal of 2434225200 is 25224342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2434225201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379621 + ... + 385979.

It is an arithmetic number, because the mean of its divisors is an integer number (36671760).

Almost surely, 2^2434225200 is an apocalyptic number.

2434225200 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 2434225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400611200).

2434225200 is an abundant number, since it is smaller than the sum of its proper divisors (6366997200).

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

2434225200 is a wasteful number, since it uses less digits than its factorization.

2434225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2434225200 is about 49337.8678096247. The cubic root of 2434225200 is about 1345.2001839471.

Adding to 2434225200 its reverse (25224342), we get a palindrome (2459449542).

The spelling of 2434225200 in words is "two billion, four hundred thirty-four million, two hundred twenty-five thousand, two hundred".