2242000400 has 60 divisors (see below), whose sum is σ = 5391210000. Its totient is φ = 896000640.

The previous prime is 2242000393. The next prime is 2242000403. The reversal of 2242000400 is 40002422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2242000403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 677951 + ... + 681249.

It is an arithmetic number, because the mean of its divisors is an integer number (89853500).

Almost surely, 2^2242000400 is an apocalyptic number.

2242000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242000400 is an abundant number, since it is smaller than the sum of its proper divisors (3149209600).

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

2242000400 is a wasteful number, since it uses less digits than its factorization.

2242000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2242000400 is about 47349.7666308927. The cubic root of 2242000400 is about 1308.8158987284.

Adding to 2242000400 its reverse (40002422), we get a palindrome (2282002822).

The spelling of 2242000400 in words is "two billion, two hundred forty-two million, four hundred", and thus it is an aban number.