2002080 has 96 divisors (see below), whose sum is σ = 6519744. Its totient is φ = 516096.

The previous prime is 2002079. The next prime is 2002093. The reversal of 2002080 is 802002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 20592 + ... + 20688.

It is an arithmetic number, because the mean of its divisors is an integer number (67914).

2^2002080 is an apocalyptic number.

2002080 is a gapful number since it is divisible by the number (20) 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 2002080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259872).

2002080 is an abundant number, since it is smaller than the sum of its proper divisors (4517664).

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

2002080 is a wasteful number, since it uses less digits than its factorization.

2002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2002080 is about 1414.9487623232. The cubic root of 2002080 is about 126.0357671198.

Adding to 2002080 its reverse (802002), we get a palindrome (2804082).

It can be divided in two parts, 20020 and 80, that added together give a triangular number (20100 = T₂₀₀).

The spelling of 2002080 in words is "two million, two thousand, eighty".