2112864453600 has 144 divisors (see below), whose sum is σ = 6881236322688. Its totient is φ = 563114083840.

The previous prime is 2112864453577. The next prime is 2112864453611. The reversal of 2112864453600 is 63544682112.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4042477 + ... + 4535123.

It is an arithmetic number, because the mean of its divisors is an integer number (47786363352).

Almost surely, 2^{2112864453600} is an apocalyptic number.

2112864453600 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 2112864453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440618161344).

2112864453600 is an abundant number, since it is smaller than the sum of its proper divisors (4768371869088).

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

2112864453600 is a wasteful number, since it uses less digits than its factorization.

2112864453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494457 (or 494444 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 2112864453600 in words is "two trillion, one hundred twelve billion, eight hundred sixty-four million, four hundred fifty-three thousand, six hundred".