2243084400 has 360 divisors, whose sum is σ = 8260971264. Its totient is φ = 584236800.

The previous prime is 2243084351. The next prime is 2243084401. The reversal of 2243084400 is 44803422.

It is a happy number.

2243084400 is a `hidden beast` number, since 224 + 30 + 8 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243084401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4568155 + ... + 4568645.

Almost surely, 2^2243084400 is an apocalyptic number.

2243084400 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 2243084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4130485632).

2243084400 is an abundant number, since it is smaller than the sum of its proper divisors (6017886864).

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

2243084400 is a wasteful number, since it uses less digits than its factorization.

2243084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2243084400 is about 47361.2119777355. The cubic root of 2243084400 is about 1309.0268008378.

Adding to 2243084400 its reverse (44803422), we get a palindrome (2287887822).

The spelling of 2243084400 in words is "two billion, two hundred forty-three million, eighty-four thousand, four hundred".