2124000320 has 224 divisors, whose sum is σ = 5776081920. Its totient is φ = 738017280.

The previous prime is 2124000211. The next prime is 2124000331. The reversal of 2124000320 is 230004212.

It is a super-2 number, since 2×2124000320² = 9022754718720204800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2124000295 and 2124000304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7558580 + ... + 7558860.

It is an arithmetic number, because the mean of its divisors is an integer number (25786080).

Almost surely, 2^2124000320 is an apocalyptic number.

2124000320 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 2124000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888040960).

2124000320 is an abundant number, since it is smaller than the sum of its proper divisors (3652081600).

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

2124000320 is a wasteful number, since it uses less digits than its factorization.

2124000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2124000320 is about 46086.8779589158. The cubic root of 2124000320 is about 1285.4391590965.

Adding to 2124000320 its reverse (230004212), we get a palindrome (2354004532).

The spelling of 2124000320 in words is "two billion, one hundred twenty-four million, three hundred twenty", and thus it is an aban number.