2176268328960 has 896 divisors, whose sum is σ = 7914067918848. Its totient is φ = 505872384000.

The previous prime is 2176268328959. The next prime is 2176268328961. The reversal of 2176268328960 is 698238626712.

It is an interprime number because it is at equal distance from previous prime (2176268328959) and next prime (2176268328961).

It is a super-3 number, since 3×2176268328960³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2176268328894 and 2176268328903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2176268328961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6997647205 + ... + 6997647515.

It is an arithmetic number, because the mean of its divisors is an integer number (8832665088).

Almost surely, 2^{2176268328960} is an apocalyptic number.

2176268328960 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 2176268328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957033959424).

2176268328960 is an abundant number, since it is smaller than the sum of its proper divisors (5737799589888).

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

2176268328960 is a wasteful number, since it uses less digits than its factorization.

2176268328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 2176268328960 in words is "two trillion, one hundred seventy-six billion, two hundred sixty-eight million, three hundred twenty-eight thousand, nine hundred sixty".