2441181600 has 432 divisors, whose sum is σ = 10117414944. Its totient is φ = 546048000.

The previous prime is 2441181563. The next prime is 2441181619. The reversal of 2441181600 is 61811442.

It is a happy number.

2441181600 is a `hidden beast` number, since 2 + 4 + 41 + 18 + 1 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1028415 + ... + 1030785.

It is an arithmetic number, because the mean of its divisors is an integer number (23419942).

Almost surely, 2^2441181600 is an apocalyptic number.

2441181600 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 2441181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058707472).

2441181600 is an abundant number, since it is smaller than the sum of its proper divisors (7676233344).

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

2441181600 is a wasteful number, since it uses less digits than its factorization.

2441181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2441181600 is about 49408.3150896689. The cubic root of 2441181600 is about 1346.4803792028.

It can be divided in two parts, 2441 and 181600, that added together give a square (184041 = 429²).

The spelling of 2441181600 in words is "two billion, four hundred forty-one million, one hundred eighty-one thousand, six hundred".