2229398400 has 192 divisors, whose sum is σ = 7379349120. Its totient is φ = 591575040.

The previous prime is 2229398363. The next prime is 2229398419. The reversal of 2229398400 is 48939222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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, 2524359 + ... + 2525241.

It is an arithmetic number, because the mean of its divisors is an integer number (38434110).

Almost surely, 2^2229398400 is an apocalyptic number.

2229398400 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 2229398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689674560).

2229398400 is an abundant number, since it is smaller than the sum of its proper divisors (5149950720).

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

2229398400 is a wasteful number, since it uses less digits than its factorization.

2229398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2229398400 is about 47216.5055886181. The cubic root of 2229398400 is about 1306.3590603599.

The spelling of 2229398400 in words is "two billion, two hundred twenty-nine million, three hundred ninety-eight thousand, four hundred".