2806020 has 144 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 599040.

The previous prime is 2806007. The next prime is 2806021. The reversal of 2806020 is 206082.

2806020 = T₂₉₅ + T₂₉₆ + ... + T₃₄₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2805984 and 2806002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2806021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21355 + ... + 21485.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

2^2806020 is an apocalyptic number.

2806020 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 2806020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184).

2806020 is an abundant number, since it is smaller than the sum of its proper divisors (7572348).

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

2806020 is a wasteful number, since it uses less digits than its factorization.

2806020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2806020 is about 1675.1179062979. The cubic root of 2806020 is about 141.0469136180.

The spelling of 2806020 in words is "two million, eight hundred six thousand, twenty".