2705220 has 144 divisors (see below), whose sum is σ = 9959040. Its totient is φ = 580608.

The previous prime is 2705203. The next prime is 2705243. The reversal of 2705220 is 225072.

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 = 2705193 and 2705202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23884 + ... + 23996.

It is an arithmetic number, because the mean of its divisors is an integer number (69160).

2^2705220 is an apocalyptic number.

2705220 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 2705220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979520).

2705220 is an abundant number, since it is smaller than the sum of its proper divisors (7253820).

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

2705220 is a wasteful number, since it uses less digits than its factorization.

2705220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

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

The square root of 2705220 is about 1644.7553009490. The cubic root of 2705220 is about 139.3373446238.

It can be divided in two parts, 27052 and 20, that added together give a palindrome (27072).

The spelling of 2705220 in words is "two million, seven hundred five thousand, two hundred twenty".