2124322400 has 36 divisors (see below), whose sum is σ = 5186004012. Its totient is φ = 849728640.

The previous prime is 2124322391. The next prime is 2124322423. The reversal of 2124322400 is 42234212.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 1326902 + ... + 1328501.

It is an arithmetic number, because the mean of its divisors is an integer number (144055667).

Almost surely, 2^2124322400 is an apocalyptic number.

2124322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124322400 is an abundant number, since it is smaller than the sum of its proper divisors (3061681612).

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

2124322400 is a wasteful number, since it uses less digits than its factorization.

2124322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655423 (or 2655410 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2124322400 is about 46090.3720965670. The cubic root of 2124322400 is about 1285.5041297897.

Adding to 2124322400 its reverse (42234212), we get a palindrome (2166556612).

The spelling of 2124322400 in words is "two billion, one hundred twenty-four million, three hundred twenty-two thousand, four hundred".