2110314014000 has 160 divisors (see below), whose sum is σ = 5130260928000. Its totient is φ = 839585203200.

The previous prime is 2110314013957. The next prime is 2110314014071. The reversal of 2110314014000 is 4104130112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2110314014000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303682526 + ... + 303689474.

It is an arithmetic number, because the mean of its divisors is an integer number (32064130800).

Almost surely, 2^{2110314014000} is an apocalyptic number.

2110314014000 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 2110314014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565130464000).

2110314014000 is an abundant number, since it is smaller than the sum of its proper divisors (3019946914000).

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

2110314014000 is a wasteful number, since it uses less digits than its factorization.

2110314014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7768 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2110314014000 its reverse (4104130112), we get a palindrome (2114418144112).

The spelling of 2110314014000 in words is "two trillion, one hundred ten billion, three hundred fourteen million, fourteen thousand".