2042208 has 72 divisors (see below), whose sum is σ = 6643728. Its totient is φ = 582912.

The previous prime is 2042207. The next prime is 2042213. The reversal of 2042208 is 8022402.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2042208² = 8341227030528, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1510 + ... + 2522.

It is an arithmetic number, because the mean of its divisors is an integer number (92274).

2^2042208 is an apocalyptic number.

2042208 is a gapful number since it is divisible by the number (28) 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 2042208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321864).

2042208 is an abundant number, since it is smaller than the sum of its proper divisors (4601520).

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

2042208 is a wasteful number, since it uses less digits than its factorization.

2042208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2042208 is about 1429.0584312756. The cubic root of 2042208 is about 126.8722546261.

The spelling of 2042208 in words is "two million, forty-two thousand, two hundred eight".