2254400330 has 96 divisors (see below), whose sum is σ = 5100713856. Its totient is φ = 711075456.

The previous prime is 2254400303. The next prime is 2254400339. The reversal of 2254400330 is 330044522.

It is a junction number, because it is equal to n+sod(n) for n = 2254400296 and 2254400305.

It is not an unprimeable number, because it can be changed into a prime (2254400339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3484067 + ... + 3484713.

It is an arithmetic number, because the mean of its divisors is an integer number (53132436).

Almost surely, 2^2254400330 is an apocalyptic number.

2254400330 is an abundant number, since it is smaller than the sum of its proper divisors (2846313526).

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

2254400330 is a wasteful number, since it uses less digits than its factorization.

2254400330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 2254400330 is about 47480.5257974256. The cubic root of 2254400330 is about 1311.2243724626.

Adding to 2254400330 its reverse (330044522), we get a palindrome (2584444852).

The spelling of 2254400330 in words is "two billion, two hundred fifty-four million, four hundred thousand, three hundred thirty".