2254431200 has 324 divisors, whose sum is σ = 6835109400. Its totient is φ = 723824640.

The previous prime is 2254431199. The next prime is 2254431233. The reversal of 2254431200 is 21344522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11328701 + ... + 11328899.

Almost surely, 2^2254431200 is an apocalyptic number.

2254431200 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 2254431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417554700).

2254431200 is an abundant number, since it is smaller than the sum of its proper divisors (4580678200).

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

2254431200 is a wasteful number, since it uses less digits than its factorization.

2254431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2254431200 is about 47480.8508769588. The cubic root of 2254431200 is about 1311.2303573966.

Adding to 2254431200 its reverse (21344522), we get a palindrome (2275775722).

The spelling of 2254431200 in words is "two billion, two hundred fifty-four million, four hundred thirty-one thousand, two hundred".