2082672 has 50 divisors (see below), whose sum is σ = 6031608. Its totient is φ = 693792.

The previous prime is 2082667. The next prime is 2082679. The reversal of 2082672 is 2762802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082679) 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 9 ways as a sum of consecutive naturals, for example, 493 + ... + 2099.

2^2082672 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 2082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015804).

2082672 is an abundant number, since it is smaller than the sum of its proper divisors (3948936).

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

2082672 is a wasteful number, since it uses less digits than its factorization.

2082672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2082672 is about 1443.1465622036. The cubic root of 2082672 is about 127.7047230094.

The spelling of 2082672 in words is "two million, eighty-two thousand, six hundred seventy-two".