2243534400 has 126 divisors (see below), whose sum is σ = 7974102162. Its totient is φ = 598272000.

The previous prime is 2243534357. The next prime is 2243534401. The reversal of 2243534400 is 44353422.

2243534400 is a `hidden beast` number, since 224 + 3 + 5 + 34 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3594816 + 2239939584 = 1896^2 + 47328^2 .

It is not an unprimeable number, because it can be changed into a prime (2243534401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63501 + ... + 92300.

Almost surely, 2^2243534400 is an apocalyptic number.

2243534400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2243534400 is an abundant number, since it is smaller than the sum of its proper divisors (5730567762).

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

2243534400 is a wasteful number, since it uses less digits than its factorization.

2243534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155829 (or 155811 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2243534400 is about 47365.9624625110. The cubic root of 2243534400 is about 1309.1143324933.

Adding to 2243534400 its reverse (44353422), we get a palindrome (2287887822).

The spelling of 2243534400 in words is "two billion, two hundred forty-three million, five hundred thirty-four thousand, four hundred".