2208640 has 128 divisors (see below), whose sum is σ = 6609600. Its totient is φ = 688128.

The previous prime is 2208637. The next prime is 2208643. The reversal of 2208640 is 468022.

It is an interprime number because it is at equal distance from previous prime (2208637) and next prime (2208643).

It is a tau number, because it is divible by the number of its divisors (128).

It is a d-powerful number, because it can be written as 2⁷ + 2¹⁹ + 0 + 8³ + 6⁸ + 4⁶ + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2208643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76146 + ... + 76174.

2^2208640 is an apocalyptic number.

2208640 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 2208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304800).

2208640 is an abundant number, since it is smaller than the sum of its proper divisors (4400960).

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

2208640 is a wasteful number, since it uses less digits than its factorization.

2208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2208640 is about 1486.1493868383. The cubic root of 2208640 is about 130.2291815293.

The spelling of 2208640 in words is "two million, two hundred eight thousand, six hundred forty".