2123445200 has 60 divisors (see below), whose sum is σ = 5138947500. Its totient is φ = 843156480.

The previous prime is 2123445193. The next prime is 2123445211. The reversal of 2123445200 is 25443212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19571776 + 2103873424 = 4424^2 + 45868^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35426 + ... + 74174.

It is an arithmetic number, because the mean of its divisors is an integer number (85649125).

Almost surely, 2^2123445200 is an apocalyptic number.

2123445200 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 2123445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569473750).

2123445200 is an abundant number, since it is smaller than the sum of its proper divisors (3015502300).

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

2123445200 is a wasteful number, since it uses less digits than its factorization.

2123445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38904 (or 38893 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2123445200 is about 46080.8550267896. The cubic root of 2123445200 is about 1285.3271636393.

Adding to 2123445200 its reverse (25443212), we get a palindrome (2148888412).

The spelling of 2123445200 in words is "two billion, one hundred twenty-three million, four hundred forty-five thousand, two hundred".