2172884480 has 160 divisors (see below), whose sum is σ = 5671512000. Its totient is φ = 793608192.

The previous prime is 2172884449. The next prime is 2172884489. The reversal of 2172884480 is 844882712.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172884489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3627221 + ... + 3627819.

It is an arithmetic number, because the mean of its divisors is an integer number (35446950).

Almost surely, 2^2172884480 is an apocalyptic number.

2172884480 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 2172884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835756000).

2172884480 is an abundant number, since it is smaller than the sum of its proper divisors (3498627520).

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

2172884480 is a wasteful number, since it uses less digits than its factorization.

2172884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 44.

The square root of 2172884480 is about 46614.2089925379. The cubic root of 2172884480 is about 1295.2259768735.

The spelling of 2172884480 in words is "two billion, one hundred seventy-two million, eight hundred eighty-four thousand, four hundred eighty".