2126023200 has 720 divisors, whose sum is σ = 9150039360. Its totient is φ = 470292480.

The previous prime is 2126023139. The next prime is 2126023283. The reversal of 2126023200 is 23206212.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19504746 + ... + 19504854.

It is an arithmetic number, because the mean of its divisors is an integer number (12708388).

Almost surely, 2^2126023200 is an apocalyptic number.

2126023200 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 2126023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575019680).

2126023200 is an abundant number, since it is smaller than the sum of its proper divisors (7024016160).

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

2126023200 is a wasteful number, since it uses less digits than its factorization.

2126023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2126023200 is about 46108.8191130504. The cubic root of 2126023200 is about 1285.8471100873.

Adding to 2126023200 its reverse (23206212), we get a palindrome (2149229412).

The spelling of 2126023200 in words is "two billion, one hundred twenty-six million, twenty-three thousand, two hundred".