2175475680 has 576 divisors, whose sum is σ = 9202152960. Its totient is φ = 456855552.

The previous prime is 2175475657. The next prime is 2175475691. The reversal of 2175475680 is 865745712.

2175475680 is a `hidden beast` number, since 2 + 175 + 475 + 6 + 8 + 0 = 666.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7086087 + ... + 7086393.

It is an arithmetic number, because the mean of its divisors is an integer number (15975960).

Almost surely, 2^2175475680 is an apocalyptic number.

2175475680 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 2175475680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601076480).

2175475680 is an abundant number, since it is smaller than the sum of its proper divisors (7026677280).

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

2175475680 is a wasteful number, since it uses less digits than its factorization.

2175475680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 2175475680 is about 46641.9948115430. The cubic root of 2175475680 is about 1295.7406316809.

The spelling of 2175475680 in words is "two billion, one hundred seventy-five million, four hundred seventy-five thousand, six hundred eighty".