2185456 has 80 divisors (see below), whose sum is σ = 5555200. Its totient is φ = 808704.

The previous prime is 2185439. The next prime is 2185471. The reversal of 2185456 is 6545812.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (9600) is a multiple of the sum of its prime divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27625 + ... + 27703.

It is an arithmetic number, because the mean of its divisors is an integer number (69440).

2^2185456 is an apocalyptic number.

2185456 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 2185456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2777600).

2185456 is an abundant number, since it is smaller than the sum of its proper divisors (3369744).

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

2185456 is a wasteful number, since it uses less digits than its factorization.

2185456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 2185456 is about 1478.3287861636. The cubic root of 2185456 is about 129.7719077257.

The spelling of 2185456 in words is "two million, one hundred eighty-five thousand, four hundred fifty-six".