2114106304000 has 160 divisors (see below), whose sum is σ = 5306592088512. Its totient is φ = 840038400000.

The previous prime is 2114106303943. The next prime is 2114106304007. The reversal of 2114106304000 is 4036014112.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2114106304000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114106304007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9554620 + ... + 9773380.

Almost surely, 2^{2114106304000} is an apocalyptic number.

2114106304000 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 2114106304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653296044256).

2114106304000 is an abundant number, since it is smaller than the sum of its proper divisors (3192485784512).

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

2114106304000 is an equidigital number, since it uses as much as digits as its factorization.

2114106304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218945 (or 218919 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The spelling of 2114106304000 in words is "two trillion, one hundred fourteen billion, one hundred six million, three hundred four thousand".