2282725337760 has 768 divisors, whose sum is σ = 9337260441600. Its totient is φ = 510104604672.

The previous prime is 2282725337749. The next prime is 2282725337773. The reversal of 2282725337760 is 677335272822.

2282725337760 is a `hidden beast` number, since 2 + 28 + 27 + 2 + 533 + 7 + 7 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2282725337697 and 2282725337706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 246058242 + ... + 246067518.

It is an arithmetic number, because the mean of its divisors is an integer number (12157891200).

Almost surely, 2^{2282725337760} is an apocalyptic number.

2282725337760 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 2282725337760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668630220800).

2282725337760 is an abundant number, since it is smaller than the sum of its proper divisors (7054535103840).

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

2282725337760 is a wasteful number, since it uses less digits than its factorization.

2282725337760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9490 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 2282725337760 in words is "two trillion, two hundred eighty-two billion, seven hundred twenty-five million, three hundred thirty-seven thousand, seven hundred sixty".