2081628 has 36 divisors (see below), whose sum is σ = 5366088. Its totient is φ = 680160.

The previous prime is 2081627. The next prime is 2081647. The reversal of 2081628 is 8261802.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1363 + ... + 2453.

It is an arithmetic number, because the mean of its divisors is an integer number (149058).

2^2081628 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 2081628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683044).

2081628 is an abundant number, since it is smaller than the sum of its proper divisors (3284460).

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

2081628 is a wasteful number, since it uses less digits than its factorization.

2081628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2081628 is about 1442.7848072391. The cubic root of 2081628 is about 127.6833808723.

The spelling of 2081628 in words is "two million, eighty-one thousand, six hundred twenty-eight".