2123400500 has 96 divisors (see below), whose sum is σ = 5026388640. Its totient is φ = 783619200.

The previous prime is 2123400469. The next prime is 2123400509. The reversal of 2123400500 is 50043212.

It can be written as a sum of positive squares in 16 ways, for example, as 1921419556 + 201980944 = 43834^2 + 14212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123400509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1097534 + ... + 1099466.

It is an arithmetic number, because the mean of its divisors is an integer number (52358215).

Almost surely, 2^2123400500 is an apocalyptic number.

2123400500 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 2123400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513194320).

2123400500 is an abundant number, since it is smaller than the sum of its proper divisors (2902988140).

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

2123400500 is a wasteful number, since it uses less digits than its factorization.

2123400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2123400500 is about 46080.3700071950. The cubic root of 2123400500 is about 1285.3181445654.

Adding to 2123400500 its reverse (50043212), we get a palindrome (2173443712).

The spelling of 2123400500 in words is "two billion, one hundred twenty-three million, four hundred thousand, five hundred".