2170932480 has 216 divisors, whose sum is σ = 7754772480. Its totient is φ = 560148480.

The previous prime is 2170932427. The next prime is 2170932503. The reversal of 2170932480 is 842390712.

2170932480 is a `hidden beast` number, since 2 + 170 + 9 + 3 + 2 + 480 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 354081 + ... + 360159.

Almost surely, 2^2170932480 is an apocalyptic number.

2170932480 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 2170932480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877386240).

2170932480 is an abundant number, since it is smaller than the sum of its proper divisors (5583840000).

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

2170932480 is a wasteful number, since it uses less digits than its factorization.

2170932480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2170932480 is about 46593.2664663039. The cubic root of 2170932480 is about 1294.8380073952.

The spelling of 2170932480 in words is "two billion, one hundred seventy million, nine hundred thirty-two thousand, four hundred eighty".