2423248027200 has 6048 divisors, whose sum is σ = 13174136801280. Its totient is φ = 408748032000.

The previous prime is 2423248027177. The next prime is 2423248027237. The reversal of 2423248027200 is 27208423242.

2423248027200 is a `hidden beast` number, since 2 + 423 + 2 + 4 + 8 + 0 + 27 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 78169291185 + ... + 78169291215.

It is an arithmetic number, because the mean of its divisors is an integer number (2178263360).

Almost surely, 2^{2423248027200} is an apocalyptic number.

2423248027200 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 2423248027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587068400640).

2423248027200 is an abundant number, since it is smaller than the sum of its proper divisors (10750888774080).

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

2423248027200 is a wasteful number, since it uses less digits than its factorization.

2423248027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 2423248027200 in words is "two trillion, four hundred twenty-three billion, two hundred forty-eight million, twenty-seven thousand, two hundred".