2175879840680 has 512 divisors, whose sum is σ = 6452768931840. Its totient is φ = 641896980480.

The previous prime is 2175879840593. The next prime is 2175879840683. The reversal of 2175879840680 is 860489785712.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (2175879840683) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 354201689 + ... + 354207831.

It is an arithmetic number, because the mean of its divisors is an integer number (12603064320).

Almost surely, 2^{2175879840680} is an apocalyptic number.

2175879840680 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 2175879840680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3226384465920).

2175879840680 is an abundant number, since it is smaller than the sum of its proper divisors (4276889091160).

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

2175879840680 is a wasteful number, since it uses less digits than its factorization.

2175879840680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 65.

The spelling of 2175879840680 in words is "two trillion, one hundred seventy-five billion, eight hundred seventy-nine million, eight hundred forty thousand, six hundred eighty".