2102023200 has 288 divisors, whose sum is σ = 7439523840. Its totient is φ = 513561600.

The previous prime is 2102023151. The next prime is 2102023207. The reversal of 2102023200 is 23202012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2102023207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412857 + ... + 1414343.

It is an arithmetic number, because the mean of its divisors is an integer number (25831680).

Almost surely, 2^2102023200 is an apocalyptic number.

2102023200 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 2102023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719761920).

2102023200 is an abundant number, since it is smaller than the sum of its proper divisors (5337500640).

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

2102023200 is a wasteful number, since it uses less digits than its factorization.

2102023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2102023200 is about 45847.8265569918. The cubic root of 2102023200 is about 1280.9902818403.

Adding to 2102023200 its reverse (23202012), we get a palindrome (2125225212).

The spelling of 2102023200 in words is "two billion, one hundred two million, twenty-three thousand, two hundred".