2172456 has 96 divisors (see below), whose sum is σ = 6945120. Its totient is φ = 604800.

The previous prime is 2172433. The next prime is 2172461. The reversal of 2172456 is 6542712.

Its product of digits (3360) is a multiple of the sum of its prime divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10191 + ... + 10401.

It is an arithmetic number, because the mean of its divisors is an integer number (72345).

2^2172456 is an apocalyptic number.

2172456 is a gapful number since it is divisible by the number (26) 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 2172456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472560).

2172456 is an abundant number, since it is smaller than the sum of its proper divisors (4772664).

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

2172456 is a wasteful number, since it uses less digits than its factorization.

2172456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2172456 is about 1473.9253712451. The cubic root of 2172456 is about 129.5140834303.

It can be divided in two parts, 2172 and 456, that added together give a triangular number (2628 = T₇₂).

The spelling of 2172456 in words is "two million, one hundred seventy-two thousand, four hundred fifty-six".