2226841344 has 648 divisors, whose sum is σ = 8558309760. Its totient is φ = 543449088.

The previous prime is 2226841343. The next prime is 2226841361. The reversal of 2226841344 is 4431486222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2226841299 and 2226841308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226841343) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 51786987 + ... + 51787029.

Almost surely, 2^2226841344 is an apocalyptic number.

2226841344 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 2226841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279154880).

2226841344 is an abundant number, since it is smaller than the sum of its proper divisors (6331468416).

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

2226841344 is a wasteful number, since it uses less digits than its factorization.

2226841344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 2226841344 is about 47189.4198311444. The cubic root of 2226841344 is about 1305.8594171655.

The spelling of 2226841344 in words is "two billion, two hundred twenty-six million, eight hundred forty-one thousand, three hundred forty-four".