2005889248800 has 360 divisors, whose sum is σ = 7551066200832. Its totient is φ = 517648320000.

The previous prime is 2005889248777. The next prime is 2005889248813. The reversal of 2005889248800 is 88429885002.

It is a happy number.

2005889248800 is a `hidden beast` number, since 20 + 0 + 58 + 8 + 92 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1509525 + ... + 2508075.

Almost surely, 2^{2005889248800} is an apocalyptic number.

2005889248800 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 2005889248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775533100416).

2005889248800 is an abundant number, since it is smaller than the sum of its proper divisors (5545176952032).

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

2005889248800 is a wasteful number, since it uses less digits than its factorization.

2005889248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998614 (or 998592 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 2005889248800 in words is "two trillion, five billion, eight hundred eighty-nine million, two hundred forty-eight thousand, eight hundred".