2205420 has 96 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 489984.

The previous prime is 2205409. The next prime is 2205449. The reversal of 2205420 is 245022.

2205420 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2205420.

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 31 ways as a sum of consecutive naturals, for example, 24736 + ... + 24824.

It is an arithmetic number, because the mean of its divisors is an integer number (75600).

2^2205420 is an apocalyptic number.

2205420 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 2205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2205420 is an abundant number, since it is smaller than the sum of its proper divisors (5052180).

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

2205420 is a wasteful number, since it uses less digits than its factorization.

2205420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 2205420 is about 1485.0656551143. The cubic root of 2205420 is about 130.1658632406.

The spelling of 2205420 in words is "two million, two hundred five thousand, four hundred twenty".