2441161800 has 960 divisors, whose sum is σ = 11234995200. Its totient is φ = 475891200.

The previous prime is 2441161799. The next prime is 2441161823. The reversal of 2441161800 is 81611442.

It is a happy number.

2441161800 is a `hidden beast` number, since 2 + 4 + 41 + 1 + 618 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23700549 + ... + 23700651.

It is an arithmetic number, because the mean of its divisors is an integer number (11703120).

Almost surely, 2^2441161800 is an apocalyptic number.

2441161800 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 2441161800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5617497600).

2441161800 is an abundant number, since it is smaller than the sum of its proper divisors (8793833400).

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

2441161800 is a wasteful number, since it uses less digits than its factorization.

2441161800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

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

The square root of 2441161800 is about 49408.1147181311. The cubic root of 2441161800 is about 1346.4767388368.

The spelling of 2441161800 in words is "two billion, four hundred forty-one million, one hundred sixty-one thousand, eight hundred".