2123884800 has 540 divisors, whose sum is σ = 8349410916. Its totient is φ = 530841600.

The previous prime is 2123884799. The next prime is 2123884801. The reversal of 2123884800 is 84883212.

It is a happy number.

2123884800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2123884799) and next prime (2123884801).

It can be written as a sum of positive squares in 6 ways, for example, as 40144896 + 2083739904 = 6336^2 + 45648^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2123884801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8812680 + ... + 8812920.

Almost surely, 2^2123884800 is an apocalyptic number.

2123884800 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 2123884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174705458).

2123884800 is an abundant number, since it is smaller than the sum of its proper divisors (6225526116).

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

2123884800 is a wasteful number, since it uses less digits than its factorization.

2123884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2123884800 is about 46085.6246567191. The cubic root of 2123884800 is about 1285.4158545451.

The spelling of 2123884800 in words is "two billion, one hundred twenty-three million, eight hundred eighty-four thousand, eight hundred".