2175842880 has 168 divisors, whose sum is σ = 7725729024. Its totient is φ = 561484800.

The previous prime is 2175842861. The next prime is 2175842909. The reversal of 2175842880 is 882485712.

It is a happy number.

2175842880 is a `hidden beast` number, since 217 + 5 + 8 + 428 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77095 + ... + 101465.

Almost surely, 2^2175842880 is an apocalyptic number.

2175842880 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 2175842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862864512).

2175842880 is an abundant number, since it is smaller than the sum of its proper divisors (5549886144).

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

2175842880 is a wasteful number, since it uses less digits than its factorization.

2175842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24425 (or 24412 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 2175842880 is about 46645.9310122544. The cubic root of 2175842880 is about 1295.8135305565.

The spelling of 2175842880 in words is "two billion, one hundred seventy-five million, eight hundred forty-two thousand, eight hundred eighty".