2206464 has 108 divisors (see below), whose sum is σ = 6732936. Its totient is φ = 638976.

The previous prime is 2206453. The next prime is 2206469. The reversal of 2206464 is 4646022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹³ + 2¹⁹ + 0 + 6⁷ + 4⁸ + 6⁷ + 4¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (2206469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 129784 + ... + 129800.

It is an arithmetic number, because the mean of its divisors is an integer number (62342).

2^2206464 is an apocalyptic number.

2206464 is a gapful number since it is divisible by the number (24) 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 2206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366468).

2206464 is an abundant number, since it is smaller than the sum of its proper divisors (4526472).

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

2206464 is a wasteful number, since it uses less digits than its factorization.

2206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2206464 is about 1485.4171131369. The cubic root of 2206464 is about 130.1863992721.

The spelling of 2206464 in words is "two million, two hundred six thousand, four hundred sixty-four".