2146872 has 64 divisors (see below), whose sum is σ = 6612480. Its totient is φ = 565632.

The previous prime is 2146853. The next prime is 2146897. The reversal of 2146872 is 2786412.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹⁵ + 1 + 4⁷ + 6³ + 8 + 7³ + 2²¹ .

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 15 ways as a sum of consecutive naturals, for example, 1693 + ... + 2675.

It is an arithmetic number, because the mean of its divisors is an integer number (103320).

2^2146872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306240).

2146872 is an abundant number, since it is smaller than the sum of its proper divisors (4465608).

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

2146872 is a wasteful number, since it uses less digits than its factorization.

2146872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1008 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2146872 is about 1465.2208024731. The cubic root of 2146872 is about 129.0036655409.

The spelling of 2146872 in words is "two million, one hundred forty-six thousand, eight hundred seventy-two".