2089781548800 has 864 divisors, whose sum is σ = 8182082813184. Its totient is φ = 463896576000.

The previous prime is 2089781548787. The next prime is 2089781548861. The reversal of 2089781548800 is 88451879802.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132836935 + ... + 132852665.

It is an arithmetic number, because the mean of its divisors is an integer number (9470003256).

Almost surely, 2^{2089781548800} is an apocalyptic number.

2089781548800 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 2089781548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091041406592).

2089781548800 is an abundant number, since it is smaller than the sum of its proper divisors (6092301264384).

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

2089781548800 is a wasteful number, since it uses less digits than its factorization.

2089781548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15825 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 60.

The spelling of 2089781548800 in words is "two trillion, eighty-nine billion, seven hundred eighty-one million, five hundred forty-eight thousand, eight hundred".