2845920 has 216 divisors, whose sum is σ = 11462472. Its totient is φ = 591360.

The previous prime is 2845907. The next prime is 2845949. The reversal of 2845920 is 295482.

2845920 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 (30).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 258715 + ... + 258725.

It is an arithmetic number, because the mean of its divisors is an integer number (53067).

2^2845920 is an apocalyptic number.

2845920 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 2845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731236).

2845920 is an abundant number, since it is smaller than the sum of its proper divisors (8616552).

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

2845920 is a wasteful number, since it uses less digits than its factorization.

2845920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2845920 is about 1686.9854771159. The cubic root of 2845920 is about 141.7123051728.

Multiplying 2845920 by its sum of digits (30), we get a square (85377600 = 9240²).

2845920 divided by its sum of digits (30) gives a square (94864 = 308²).

The spelling of 2845920 in words is "two million, eight hundred forty-five thousand, nine hundred twenty".