2246442400 has 72 divisors (see below), whose sum is σ = 5540856300. Its totient is φ = 889282560.

The previous prime is 2246442391. The next prime is 2246442413. The reversal of 2246442400 is 42446422.

It can be written as a sum of positive squares in 6 ways, for example, as 1527559056 + 718883344 = 39084^2 + 26812^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63126 + ... + 92074.

Almost surely, 2^2246442400 is an apocalyptic number.

2246442400 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 2246442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770428150).

2246442400 is an abundant number, since it is smaller than the sum of its proper divisors (3294413900).

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

2246442400 is a wasteful number, since it uses less digits than its factorization.

2246442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29066 (or 29053 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2246442400 is about 47396.6496706255. The cubic root of 2246442400 is about 1309.6796994823.

Adding to 2246442400 its reverse (42446422), we get a palindrome (2288888822).

The spelling of 2246442400 in words is "two billion, two hundred forty-six million, four hundred forty-two thousand, four hundred".