2124224400 has 60 divisors (see below), whose sum is σ = 6804602672. Its totient is φ = 566459520.

The previous prime is 2124224387. The next prime is 2124224407. The reversal of 2124224400 is 44224212.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×2124224400⁴ (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2124224407) 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 11 ways as a sum of consecutive naturals, for example, 883894 + ... + 886293.

Almost surely, 2^2124224400 is an apocalyptic number.

2124224400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124224400 is an abundant number, since it is smaller than the sum of its proper divisors (4680378272).

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

2124224400 is a wasteful number, since it uses less digits than its factorization.

2124224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770208 (or 1770197 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2124224400 is about 46089.3089555485. The cubic root of 2124224400 is about 1285.4843617071.

Adding to 2124224400 its reverse (44224212), we get a palindrome (2168448612).

The spelling of 2124224400 in words is "two billion, one hundred twenty-four million, two hundred twenty-four thousand, four hundred".