2123251600 has 60 divisors (see below), whose sum is σ = 5120761536. Its totient is φ = 846029440.

The previous prime is 2123251573. The next prime is 2123251609. The reversal of 2123251600 is 61523212.

It is not an unprimeable number, because it can be changed into a prime (2123251609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95109 + ... + 115291.

Almost surely, 2^2123251600 is an apocalyptic number.

2123251600 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 2123251600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560380768).

2123251600 is an abundant number, since it is smaller than the sum of its proper divisors (2997509936).

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

2123251600 is a wasteful number, since it uses less digits than its factorization.

2123251600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20464 (or 20453 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2123251600 is about 46078.7543234406. The cubic root of 2123251600 is about 1285.2881002497.

Adding to 2123251600 its reverse (61523212), we get a palindrome (2184774812).

The spelling of 2123251600 in words is "two billion, one hundred twenty-three million, two hundred fifty-one thousand, six hundred".