2441102400 has 504 divisors, whose sum is σ = 9802185120. Its totient is φ = 590515200.

The previous prime is 2441102393. The next prime is 2441102429. The reversal of 2441102400 is 42011442.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 5226967 + ... + 5227433.

It is an arithmetic number, because the mean of its divisors is an integer number (19448780).

Almost surely, 2^2441102400 is an apocalyptic number.

2441102400 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 2441102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901092560).

2441102400 is an abundant number, since it is smaller than the sum of its proper divisors (7361082720).

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

2441102400 is a wasteful number, since it uses less digits than its factorization.

2441102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2441102400 is about 49407.5135986421. The cubic root of 2441102400 is about 1346.4658176206.

Adding to 2441102400 its reverse (42011442), we get a palindrome (2483113842).

The spelling of 2441102400 in words is "two billion, four hundred forty-one million, one hundred two thousand, four hundred".