2114021306880 has 960 divisors, whose sum is σ = 8715649662720. Its totient is φ = 481069891584.

The previous prime is 2114021306867. The next prime is 2114021306897. The reversal of 2114021306880 is 886031204112.

2114021306880 is a `hidden beast` number, since 211 + 40 + 21 + 306 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 1119120976 + ... + 1119122864.

It is an arithmetic number, because the mean of its divisors is an integer number (9078801732).

Almost surely, 2^{2114021306880} is an apocalyptic number.

2114021306880 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 2114021306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357824831360).

2114021306880 is an abundant number, since it is smaller than the sum of its proper divisors (6601628355840).

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

2114021306880 is an equidigital number, since it uses as much as digits as its factorization.

2114021306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2114021306880 in words is "two trillion, one hundred fourteen billion, twenty-one million, three hundred six thousand, eight hundred eighty".