2001888 has 96 divisors (see below), whose sum is σ = 6693120. Its totient is φ = 570240.

The previous prime is 2001847. The next prime is 2001911. The reversal of 2001888 is 8881002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 5883 + ... + 6213.

It is an arithmetic number, because the mean of its divisors is an integer number (69720).

2^2001888 is an apocalyptic number.

2001888 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 2001888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346560).

2001888 is an abundant number, since it is smaller than the sum of its proper divisors (4691232).

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

2001888 is a wasteful number, since it uses less digits than its factorization.

2001888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2001888 is about 1414.8809137168. The cubic root of 2001888 is about 126.0317380366.

The spelling of 2001888 in words is "two million, one thousand, eight hundred eighty-eight".