2172880 has 40 divisors (see below), whose sum is σ = 5113512. Its totient is φ = 858624.

The previous prime is 2172871. The next prime is 2172887. The reversal of 2172880 is 882712.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 1752976 = 648^2 + 1324^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12474 + ... + 12646.

2^2172880 is an apocalyptic number.

2172880 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 2172880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556756).

2172880 is an abundant number, since it is smaller than the sum of its proper divisors (2940632).

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

2172880 is a wasteful number, since it uses less digits than its factorization.

2172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2172880 is about 1474.0691978330. The cubic root of 2172880 is about 129.5225086718.

The spelling of 2172880 in words is "two million, one hundred seventy-two thousand, eight hundred eighty".