2001600 has 126 divisors (see below), whose sum is σ = 7165340. Its totient is φ = 529920.

The previous prime is 2001583. The next prime is 2001611. The reversal of 2001600 is 61002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14331 + ... + 14469.

2^2001600 is an apocalyptic number.

2001600 is a gapful number since it is divisible by the number (20) 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 2001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582670).

2001600 is an abundant number, since it is smaller than the sum of its proper divisors (5163740).

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

2001600 is a wasteful number, since it uses less digits than its factorization.

2001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2001600 is about 1414.7791347062. The cubic root of 2001600 is about 126.0256939287.

Adding to 2001600 its reverse (61002), we get a palindrome (2062602).

It can be divided in two parts, 2001 and 600, that added together give a square (2601 = 51²).

The spelling of 2001600 in words is "two million, one thousand, six hundred".