2114201320 has 128 divisors (see below), whose sum is σ = 5947603200. Its totient is φ = 657100800.

The previous prime is 2114201303. The next prime is 2114201357. The reversal of 2114201320 is 231024112.

It is a junction number, because it is equal to n+sod(n) for n = 2114201294 and 2114201303.

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, 1419136 + ... + 1420624.

It is an arithmetic number, because the mean of its divisors is an integer number (46465650).

Almost surely, 2^2114201320 is an apocalyptic number.

2114201320 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 2114201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973801600).

2114201320 is an abundant number, since it is smaller than the sum of its proper divisors (3833401880).

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

2114201320 is a wasteful number, since it uses less digits than its factorization.

2114201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2114201320 is about 45980.4449739234. Note that the first 3 decimals coincide. The cubic root of 2114201320 is about 1283.4593353916.

Adding to 2114201320 its reverse (231024112), we get a palindrome (2345225432).

The spelling of 2114201320 in words is "two billion, one hundred fourteen million, two hundred one thousand, three hundred twenty".