2441656224 has 288 divisors, whose sum is σ = 8500617216. Its totient is φ = 674645760.

The previous prime is 2441656223. The next prime is 2441656249. The reversal of 2441656224 is 4226561442.

2441656224 is a `hidden beast` number, since 24 + 4 + 1 + 6 + 5 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441656223) 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 47 ways as a sum of consecutive naturals, for example, 1686669 + ... + 1688115.

It is an arithmetic number, because the mean of its divisors is an integer number (29516032).

Almost surely, 2^2441656224 is an apocalyptic number.

2441656224 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 2441656224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250308608).

2441656224 is an abundant number, since it is smaller than the sum of its proper divisors (6058960992).

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

2441656224 is a wasteful number, since it uses less digits than its factorization.

2441656224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1490 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2441656224 is about 49413.1179344109. The cubic root of 2441656224 is about 1346.5676361949.

The spelling of 2441656224 in words is "two billion, four hundred forty-one million, six hundred fifty-six thousand, two hundred twenty-four".