2441348100 has 243 divisors, whose sum is σ = 8078585151. Its totient is φ = 640353600.

The previous prime is 2441348069. The next prime is 2441348111. The reversal of 2441348100 is 18431442.

The square root of 2441348100 is 49410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1124529156 + 1316818944 = 33534^2 + 36288^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×2441348100² = 11920361090747220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40022070 + ... + 40022130.

Almost surely, 2^2441348100 is an apocalyptic number.

2441348100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2441348100 is the 49410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441348100

2441348100 is an abundant number, since it is smaller than the sum of its proper divisors (5637237051).

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

2441348100 is an frugal number, since it uses more digits than its factorization.

2441348100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 2441348100 is about 1346.5109905929.

Adding to 2441348100 its reverse (18431442), we get a palindrome (2459779542).

The spelling of 2441348100 in words is "two billion, four hundred forty-one million, three hundred forty-eight thousand, one hundred".