2441866800 has 240 divisors, whose sum is σ = 8226775040. Its totient is φ = 618347520.

The previous prime is 2441866789. The next prime is 2441866831. The reversal of 2441866800 is 86681442.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1908561 + ... + 1909839.

Almost surely, 2^2441866800 is an apocalyptic number.

2441866800 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 2441866800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113387520).

2441866800 is an abundant number, since it is smaller than the sum of its proper divisors (5784908240).

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

2441866800 is a wasteful number, since it uses less digits than its factorization.

2441866800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2441866800 is about 49415.2486586883. The cubic root of 2441866800 is about 1346.6063458042.

It can be divided in two parts, 244186 and 6800, that added together give a triangular number (250986 = T₇₀₈).

The spelling of 2441866800 in words is "two billion, four hundred forty-one million, eight hundred sixty-six thousand, eight hundred".