2143680814080 has 1056 divisors, whose sum is σ = 8214547461120. Its totient is φ = 513660026880.

The previous prime is 2143680814069. The next prime is 2143680814087. The reversal of 2143680814080 is 804180863412.

2143680814080 is a `hidden beast` number, since 21 + 436 + 8 + 0 + 81 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143680814087) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4629979929 + ... + 4629980391.

It is an arithmetic number, because the mean of its divisors is an integer number (7778927520).

Almost surely, 2^{2143680814080} is an apocalyptic number.

2143680814080 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 2143680814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107273730560).

2143680814080 is an abundant number, since it is smaller than the sum of its proper divisors (6070866647040).

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

2143680814080 is a wasteful number, since it uses less digits than its factorization.

2143680814080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2143680814080 in words is "two trillion, one hundred forty-three billion, six hundred eighty million, eight hundred fourteen thousand, eighty".