2124632400 has 240 divisors, whose sum is σ = 7532517888. Its totient is φ = 507584000.

The previous prime is 2124632387. The next prime is 2124632413. The reversal of 2124632400 is 42364212.

It is an interprime number because it is at equal distance from previous prime (2124632387) and next prime (2124632413).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 936067 + ... + 938333.

Almost surely, 2^2124632400 is an apocalyptic number.

2124632400 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 2124632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766258944).

2124632400 is an abundant number, since it is smaller than the sum of its proper divisors (5407885488).

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

2124632400 is a wasteful number, since it uses less digits than its factorization.

2124632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2124632400 is about 46093.7349322009. The cubic root of 2124632400 is about 1285.5666574765.

Adding to 2124632400 its reverse (42364212), we get a palindrome (2166996612).

The spelling of 2124632400 in words is "two billion, one hundred twenty-four million, six hundred thirty-two thousand, four hundred".