2109044044800 has 4752 divisors, whose sum is σ = 10806700701888. Its totient is φ = 401316249600.

The previous prime is 2109044044759. The next prime is 2109044044801. The reversal of 2109044044800 is 84404409012.

2109044044800 is a `hidden beast` number, since 2 + 10 + 90 + 440 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109044044801) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 57001190382 + ... + 57001190418.

Almost surely, 2^{2109044044800} is an apocalyptic number.

2109044044800 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 2109044044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403350350944).

2109044044800 is an abundant number, since it is smaller than the sum of its proper divisors (8697656657088).

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

2109044044800 is a wasteful number, since it uses less digits than its factorization.

2109044044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2109044044800 in words is "two trillion, one hundred nine billion, forty-four million, forty-four thousand, eight hundred".