540822282000 has 1280 divisors, whose sum is σ = 2386647244800. Its totient is φ = 101716992000.

The previous prime is 540822281981. The next prime is 540822282023. The reversal of 540822282000 is 282228045.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 318317151 + ... + 318318849.

It is an arithmetic number, because the mean of its divisors is an integer number (1864568160).

Almost surely, 2^540822282000 is an apocalyptic number.

540822282000 is a gapful number since it is divisible by the number (50) 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 540822282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193323622400).

540822282000 is an abundant number, since it is smaller than the sum of its proper divisors (1845824962800).

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

540822282000 is a wasteful number, since it uses less digits than its factorization.

540822282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 540822282000 in words is "five hundred forty billion, eight hundred twenty-two million, two hundred eighty-two thousand".