2030080 has 80 divisors (see below), whose sum is σ = 5327784. Its totient is φ = 737280.

The previous prime is 2030069. The next prime is 2030081. The reversal of 2030080 is 800302.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 1364224 = 816^2 + 1168^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 2030080.

It is not an unprimeable number, because it can be changed into a prime (2030081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33250 + ... + 33310.

2^2030080 is an apocalyptic number.

2030080 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 2030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663892).

2030080 is an abundant number, since it is smaller than the sum of its proper divisors (3297704).

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

2030080 is an equidigital number, since it uses as much as digits as its factorization.

2030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2030080 is about 1424.8087590972. The cubic root of 2030080 is about 126.6206049817.

Adding to 2030080 its reverse (800302), we get a palindrome (2830382).

The spelling of 2030080 in words is "two million, thirty thousand, eighty".