2002656 has 48 divisors (see below), whose sum is σ = 5491584. Its totient is φ = 637824.

The previous prime is 2002643. The next prime is 2002661. The reversal of 2002656 is 6562002.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755 + ... + 2661.

It is an arithmetic number, because the mean of its divisors is an integer number (114408).

2^2002656 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 2002656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2745792).

2002656 is an abundant number, since it is smaller than the sum of its proper divisors (3488928).

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

2002656 is a wasteful number, since it uses less digits than its factorization.

2002656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2002656 is about 1415.1522886248. The cubic root of 2002656 is about 126.0478528242.

Adding to 2002656 its reverse (6562002), we get a palindrome (8564658).

The spelling of 2002656 in words is "two million, two thousand, six hundred fifty-six".