2124162800 has 60 divisors (see below), whose sum is σ = 5123875176. Its totient is φ = 846240000.

The previous prime is 2124162763. The next prime is 2124162827. The reversal of 2124162800 is 82614212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2124162800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89822 + ... + 110978.

Almost surely, 2^2124162800 is an apocalyptic number.

2124162800 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 2124162800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561937588).

2124162800 is an abundant number, since it is smaller than the sum of its proper divisors (2999712376).

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

2124162800 is a wasteful number, since it uses less digits than its factorization.

2124162800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21426 (or 21415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2124162800 is about 46088.6406829275. The cubic root of 2124162800 is about 1285.4719357439.

The spelling of 2124162800 in words is "two billion, one hundred twenty-four million, one hundred sixty-two thousand, eight hundred".