2441026800 has 480 divisors, whose sum is σ = 9387970560. Its totient is φ = 600652800.

The previous prime is 2441026793. The next prime is 2441026801. The reversal of 2441026800 is 86201442.

It is a super-2 number, since 2×2441026800² = 11917223676636480000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441026801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7700242 + ... + 7700558.

It is an arithmetic number, because the mean of its divisors is an integer number (19558272).

Almost surely, 2^2441026800 is an apocalyptic number.

2441026800 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 2441026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693985280).

2441026800 is an abundant number, since it is smaller than the sum of its proper divisors (6946943760).

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

2441026800 is a wasteful number, since it uses less digits than its factorization.

2441026800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

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

The square root of 2441026800 is about 49406.7485268966. The cubic root of 2441026800 is about 1346.4519176348.

The spelling of 2441026800 in words is "two billion, four hundred forty-one million, twenty-six thousand, eight hundred".