2120314200 has 96 divisors (see below), whose sum is σ = 6663152400. Its totient is φ = 557660160.

The previous prime is 2120314187. The next prime is 2120314277. The reversal of 2120314200 is 24130212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120314200.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19596 + ... + 68004.

Almost surely, 2^2120314200 is an apocalyptic number.

2120314200 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 2120314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3331576200).

2120314200 is an abundant number, since it is smaller than the sum of its proper divisors (4542838200).

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

2120314200 is a wasteful number, since it uses less digits than its factorization.

2120314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48501 (or 48492 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2120314200 is about 46046.8696004408. The cubic root of 2120314200 is about 1284.6951186131.

Adding to 2120314200 its reverse (24130212), we get a palindrome (2144444412).

The spelling of 2120314200 in words is "two billion, one hundred twenty million, three hundred fourteen thousand, two hundred".