2124110242800 has 720 divisors, whose sum is σ = 9107972677440. Its totient is φ = 446402396160.

The previous prime is 2124110242759. The next prime is 2124110242853. The reversal of 2124110242800 is 82420114212.

2124110242800 is a `hidden beast` number, since 2 + 1 + 2 + 411 + 0 + 242 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84180586 + ... + 84205814.

It is an arithmetic number, because the mean of its divisors is an integer number (12649962052).

Almost surely, 2^{2124110242800} is an apocalyptic number.

2124110242800 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 2124110242800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553986338720).

2124110242800 is an abundant number, since it is smaller than the sum of its proper divisors (6983862434640).

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

2124110242800 is a wasteful number, since it uses less digits than its factorization.

2124110242800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25530 (or 25516 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 2124110242800 in words is "two trillion, one hundred twenty-four billion, one hundred ten million, two hundred forty-two thousand, eight hundred".