2241941328 has 480 divisors, whose sum is σ = 7799500800. Its totient is φ = 615859200.

The previous prime is 2241941323. The next prime is 2241941371. The reversal of 2241941328 is 8231491422.

2241941328 is a `hidden beast` number, since 2 + 241 + 94 + 1 + 328 = 666.

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 = 2241941292 and 2241941301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241941323) 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 95 ways as a sum of consecutive naturals, for example, 25190308 + ... + 25190396.

It is an arithmetic number, because the mean of its divisors is an integer number (16248960).

Almost surely, 2^2241941328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241941328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899750400).

2241941328 is an abundant number, since it is smaller than the sum of its proper divisors (5557559472).

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

2241941328 is a wasteful number, since it uses less digits than its factorization.

2241941328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2241941328 is about 47349.1428433504. The cubic root of 2241941328 is about 1308.8044037778.

It can be divided in two parts, 224194 and 1328, that added together give a palindrome (225522).

The spelling of 2241941328 in words is "two billion, two hundred forty-one million, nine hundred forty-one thousand, three hundred twenty-eight".