2230344726144 has 128 divisors (see below), whose sum is σ = 5981130002880. Its totient is φ = 736347955200.

The previous prime is 2230344726133. The next prime is 2230344726257. The reversal of 2230344726144 is 4416274430322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2230344726096 and 2230344726105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23257494 + ... + 23353194.

Almost surely, 2^{2230344726144} is an apocalyptic number.

2230344726144 is a gapful number since it is divisible by the number (24) 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 2230344726144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990565001440).

2230344726144 is an abundant number, since it is smaller than the sum of its proper divisors (3750785276736).

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

2230344726144 is a wasteful number, since it uses less digits than its factorization.

2230344726144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96298 (or 96286 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 2230344726144 in words is "two trillion, two hundred thirty billion, three hundred forty-four million, seven hundred twenty-six thousand, one hundred forty-four".