2124450400 has 36 divisors (see below), whose sum is σ = 5186316492. Its totient is φ = 849779840.

The previous prime is 2124450397. The next prime is 2124450403. The reversal of 2124450400 is 40544212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2124450397) and next prime (2124450403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124450403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1326982 + ... + 1328581.

It is an arithmetic number, because the mean of its divisors is an integer number (144064347).

Almost surely, 2^2124450400 is an apocalyptic number.

2124450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124450400 is an abundant number, since it is smaller than the sum of its proper divisors (3061866092).

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

2124450400 is a wasteful number, since it uses less digits than its factorization.

2124450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655583 (or 2655570 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2124450400 is about 46091.7606519864. The cubic root of 2124450400 is about 1285.5299484105.

Adding to 2124450400 its reverse (40544212), we get a palindrome (2164994612).

The spelling of 2124450400 in words is "two billion, one hundred twenty-four million, four hundred fifty thousand, four hundred".