2178216022752 has 864 divisors, whose sum is σ = 8147418918912. Its totient is φ = 539675136000.

The previous prime is 2178216022679. The next prime is 2178216022753. The reversal of 2178216022752 is 2572206128712.

2178216022752 is a `hidden beast` number, since 2 + 17 + 8 + 2 + 1 + 602 + 27 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2178216022698 and 2178216022707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2178216022753) by changing a digit.

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, 536901108 + ... + 536905164.

It is an arithmetic number, because the mean of its divisors is an integer number (9429883008).

Almost surely, 2^{2178216022752} is an apocalyptic number.

2178216022752 is a gapful number since it is divisible by the number (22) 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 2178216022752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073709459456).

2178216022752 is an abundant number, since it is smaller than the sum of its proper divisors (5969202896160).

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

2178216022752 is a wasteful number, since it uses less digits than its factorization.

2178216022752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2178216022752 in words is "two trillion, one hundred seventy-eight billion, two hundred sixteen million, twenty-two thousand, seven hundred fifty-two".