2868381331200 has 2592 divisors, whose sum is σ = 14049045803520. Its totient is φ = 560568729600.

The previous prime is 2868381331187. The next prime is 2868381331219. The reversal of 2868381331200 is 21331838682.

2868381331200 is a `hidden beast` number, since 2 + 8 + 68 + 381 + 3 + 3 + 1 + 200 = 666.

2868381331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×2868381331200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2035756096 + ... + 2035757504.

It is an arithmetic number, because the mean of its divisors is an integer number (5420156560).

Almost surely, 2^{2868381331200} is an apocalyptic number.

2868381331200 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 2868381331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024522901760).

2868381331200 is an abundant number, since it is smaller than the sum of its proper divisors (11180664472320).

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

2868381331200 is a wasteful number, since it uses less digits than its factorization.

2868381331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2868381331200 in words is "two trillion, eight hundred sixty-eight billion, three hundred eighty-one million, three hundred thirty-one thousand, two hundred".