2206512 has 120 divisors (see below), whose sum is σ = 7737600. Its totient is φ = 570240.

The previous prime is 2206507. The next prime is 2206513. The reversal of 2206512 is 2156022.

It is a super-2 number, since 2×2206512² = 9737390412288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2206513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10989 + ... + 11187.

It is an arithmetic number, because the mean of its divisors is an integer number (64480).

2^2206512 is an apocalyptic number.

2206512 is a gapful number since it is divisible by the number (22) 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 2206512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868800).

2206512 is an abundant number, since it is smaller than the sum of its proper divisors (5531088).

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

2206512 is a wasteful number, since it uses less digits than its factorization.

2206512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2206512 is about 1485.4332701269. The cubic root of 2206512 is about 130.1873433017.

The spelling of 2206512 in words is "two million, two hundred six thousand, five hundred twelve".