2205720 has 96 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 533760.

The previous prime is 2205719. The next prime is 2205761. The reversal of 2205720 is 275022.

It is a happy number.

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 = 2205693 and 2205702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3682 + ... + 4238.

2^2205720 is an apocalyptic number.

2205720 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 2205720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

2205720 is an abundant number, since it is smaller than the sum of its proper divisors (5628600).

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

2205720 is a wasteful number, since it uses less digits than its factorization.

2205720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2205720 is about 1485.1666573149. The cubic root of 2205720 is about 130.1717650625.

It can be divided in two parts, 2205 and 720, that multiplied together give a square (1587600 = 1260²).

The spelling of 2205720 in words is "two million, two hundred five thousand, seven hundred twenty".