2001648 has 80 divisors (see below), whose sum is σ = 5999616. Its totient is φ = 568320.

The previous prime is 2001641. The next prime is 2001653. The reversal of 2001648 is 8461002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8865 + ... + 9087.

2^2001648 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 2001648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999808).

2001648 is an abundant number, since it is smaller than the sum of its proper divisors (3997968).

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

2001648 is a wasteful number, since it uses less digits than its factorization.

2001648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2001648 is about 1414.7960983831. The cubic root of 2001648 is about 126.0267013203.

The spelling of 2001648 in words is "two million, one thousand, six hundred forty-eight".