2243838105600 has 3456 divisors, whose sum is σ = 10503002764800. Its totient is φ = 416179814400.

The previous prime is 2243838105577. The next prime is 2243838105611. The reversal of 2243838105600 is 65018383422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 31603353565 + ... + 31603353635.

It is an arithmetic number, because the mean of its divisors is an integer number (3039063300).

Almost surely, 2^{2243838105600} is an apocalyptic number.

2243838105600 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 2243838105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5251501382400).

2243838105600 is an abundant number, since it is smaller than the sum of its proper divisors (8259164659200).

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

2243838105600 is a wasteful number, since it uses less digits than its factorization.

2243838105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2243838105600 in words is "two trillion, two hundred forty-three billion, eight hundred thirty-eight million, one hundred five thousand, six hundred".