2805920 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 967680.

The previous prime is 2805911. The next prime is 2805923. The reversal of 2805920 is 295082.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 2805920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39485 + ... + 39555.

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

2^2805920 is an apocalyptic number.

2805920 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 2805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2805920 is an abundant number, since it is smaller than the sum of its proper divisors (4814560).

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

2805920 is a wasteful number, since it uses less digits than its factorization.

2805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 2805920 is about 1675.0880573868. The cubic root of 2805920 is about 141.0452380706.

The spelling of 2805920 in words is "two million, eight hundred five thousand, nine hundred twenty".