2642208 has 48 divisors (see below), whose sum is σ = 7348320. Its totient is φ = 828416.

The previous prime is 2642203. The next prime is 2642231. The reversal of 2642208 is 8022462.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (2642201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823 + ... + 2441.

It is an arithmetic number, because the mean of its divisors is an integer number (153090).

2^2642208 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 2642208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674160).

2642208 is an abundant number, since it is smaller than the sum of its proper divisors (4706112).

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

2642208 is a wasteful number, since it uses less digits than its factorization.

2642208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2642208 is about 1625.4870039468. The cubic root of 2642208 is about 138.2469847080.

It can be divided in two parts, 2642 and 208, that added together give a triangular number (2850 = T₇₅).

The spelling of 2642208 in words is "two million, six hundred forty-two thousand, two hundred eight".