2273089780800 has 840 divisors, whose sum is σ = 8658750304512. Its totient is φ = 584299008000.

The previous prime is 2273089780781. The next prime is 2273089780867. The reversal of 2273089780800 is 80879803722.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1177155835 + ... + 1177157765.

Almost surely, 2^{2273089780800} is an apocalyptic number.

2273089780800 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 2273089780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329375152256).

2273089780800 is an abundant number, since it is smaller than the sum of its proper divisors (6385660523712).

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

2273089780800 is a wasteful number, since it uses less digits than its factorization.

2273089780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2273089780800 in words is "two trillion, two hundred seventy-three billion, eighty-nine million, seven hundred eighty thousand, eight hundred".