2880020 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 898560.

The previous prime is 2879999. The next prime is 2880029. The reversal of 2880020 is 200882.

2880020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2879974 and 2880001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54314 + ... + 54366.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2880020 is an apocalyptic number.

2880020 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 2880020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2880020 is an abundant number, since it is smaller than the sum of its proper divisors (4740460).

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

2880020 is a wasteful number, since it uses less digits than its factorization.

2880020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2880020 is about 1697.0621673940. The cubic root of 2880020 is about 142.2760615208.

The spelling of 2880020 in words is "two million, eight hundred eighty thousand, twenty".