2230424400 has 120 divisors (see below), whose sum is σ = 7156451680. Its totient is φ = 593809920.

The previous prime is 2230424353. The next prime is 2230424411. The reversal of 2230424400 is 44240322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022511 + ... + 1024689.

Almost surely, 2^2230424400 is an apocalyptic number.

2230424400 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 2230424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578225840).

2230424400 is an abundant number, since it is smaller than the sum of its proper divisors (4926027280).

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

2230424400 is a wasteful number, since it uses less digits than its factorization.

2230424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3042 counting only the distinct ones).

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

The square root of 2230424400 is about 47227.3691835571. The cubic root of 2230424400 is about 1306.5594311321.

Adding to 2230424400 its reverse (44240322), we get a palindrome (2274664722).

The spelling of 2230424400 in words is "two billion, two hundred thirty million, four hundred twenty-four thousand, four hundred".