2044005580800 has 1296 divisors, whose sum is σ = 8093147130432. Its totient is φ = 509607936000.

The previous prime is 2044005580781. The next prime is 2044005580823. The reversal of 2044005580800 is 80855004402.

2044005580800 is a `hidden beast` number, since 20 + 4 + 4 + 0 + 0 + 558 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13536460725 + ... + 13536460875.

It is an arithmetic number, because the mean of its divisors is an integer number (6244712292).

Almost surely, 2^{2044005580800} is an apocalyptic number.

2044005580800 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 2044005580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046573565216).

2044005580800 is an abundant number, since it is smaller than the sum of its proper divisors (6049141549632).

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

2044005580800 is an frugal number, since it uses more digits than its factorization.

2044005580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 2044005580800 in words is "two trillion, forty-four billion, five million, five hundred eighty thousand, eight hundred".