2205516 has 48 divisors (see below), whose sum is σ = 5499648. Its totient is φ = 686400.

The previous prime is 2205503. The next prime is 2205521. The reversal of 2205516 is 6155022.

It is a junction number, because it is equal to n+sod(n) for n = 2205492 and 2205501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16771 + ... + 16901.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

2^2205516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749824).

2205516 is an abundant number, since it is smaller than the sum of its proper divisors (3294132).

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

2205516 is a wasteful number, since it uses less digits than its factorization.

2205516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2205516 is about 1485.0979765659. The cubic root of 2205516 is about 130.1677518818.

The spelling of 2205516 in words is "two million, two hundred five thousand, five hundred sixteen".