2140822382800 has 240 divisors, whose sum is σ = 5712092974080. Its totient is φ = 767485255680.

The previous prime is 2140822382723. The next prime is 2140822382819. The reversal of 2140822382800 is 82832280412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11734681 + ... + 11915719.

It is an arithmetic number, because the mean of its divisors is an integer number (23800387392).

Almost surely, 2^{2140822382800} is an apocalyptic number.

2140822382800 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 2140822382800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856046487040).

2140822382800 is an abundant number, since it is smaller than the sum of its proper divisors (3571270591280).

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

2140822382800 is a wasteful number, since it uses less digits than its factorization.

2140822382800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181158 (or 181147 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 2140822382800 in words is "two trillion, one hundred forty billion, eight hundred twenty-two million, three hundred eighty-two thousand, eight hundred".