2124364320 has 384 divisors, whose sum is σ = 8123431680. Its totient is φ = 521800704.

The previous prime is 2124364301. The next prime is 2124364321. The reversal of 2124364320 is 234634212.

2124364320 is a `hidden beast` number, since 2 + 12 + 4 + 3 + 643 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2124364321) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4548727 + ... + 4549193.

It is an arithmetic number, because the mean of its divisors is an integer number (21154770).

Almost surely, 2^2124364320 is an apocalyptic number.

2124364320 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 2124364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061715840).

2124364320 is an abundant number, since it is smaller than the sum of its proper divisors (5999067360).

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

2124364320 is an equidigital number, since it uses as much as digits as its factorization.

2124364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2124364320 is about 46090.8268530735. The cubic root of 2124364320 is about 1285.5125855022.

Adding to 2124364320 its reverse (234634212), we get a palindrome (2358998532).

The spelling of 2124364320 in words is "two billion, one hundred twenty-four million, three hundred sixty-four thousand, three hundred twenty".