2226042400 has 72 divisors (see below), whose sum is σ = 5536965924. Its totient is φ = 873600000.

The previous prime is 2226042383. The next prime is 2226042443. The reversal of 2226042400 is 42406222.

It can be written as a sum of positive squares in 6 ways, for example, as 814988304 + 1411054096 = 28548^2 + 37564^2 .

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 11 ways as a sum of consecutive naturals, for example, 16150 + ... + 68650.

Almost surely, 2^2226042400 is an apocalyptic number.

2226042400 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 2226042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768482962).

2226042400 is an abundant number, since it is smaller than the sum of its proper divisors (3310923524).

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

2226042400 is a wasteful number, since it uses less digits than its factorization.

2226042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52574 (or 52561 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2226042400 is about 47180.9537843397. The cubic root of 2226042400 is about 1305.7032268219.

Adding to 2226042400 its reverse (42406222), we get a palindrome (2268448622).

The spelling of 2226042400 in words is "two billion, two hundred twenty-six million, forty-two thousand, four hundred".