2246441130000 has 300 divisors, whose sum is σ = 7925688264780. Its totient is φ = 593746944000.

The previous prime is 2246441129969. The next prime is 2246441130001. The reversal of 2246441130000 is 311446422.

It is a happy number.

2246441130000 is a `hidden beast` number, since 2 + 2 + 4 + 644 + 1 + 13 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2198600941824 + 47840188176 = 1482768^2 + 218724^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is not an unprimeable number, because it can be changed into a prime (2246441130001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10059556 + ... + 10280444.

Almost surely, 2^{2246441130000} is an apocalyptic number.

2246441130000 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 2246441130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962844132390).

2246441130000 is an abundant number, since it is smaller than the sum of its proper divisors (5679247134780).

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

2246441130000 is a wasteful number, since it uses less digits than its factorization.

2246441130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221036 (or 221012 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2246441130000 its reverse (311446422), we get a palindrome (2246752576422).

The spelling of 2246441130000 in words is "two trillion, two hundred forty-six billion, four hundred forty-one million, one hundred thirty thousand".