2001335424 has 128 divisors (see below), whose sum is σ = 5827464000. Its totient is φ = 603525120.

The previous prime is 2001335407. The next prime is 2001335431. The reversal of 2001335424 is 4245331002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2001335394 and 2001335403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966262 + ... + 968330.

Almost surely, 2^2001335424 is an apocalyptic number.

2001335424 is a gapful number since it is divisible by the number (24) 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 2001335424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913732000).

2001335424 is an abundant number, since it is smaller than the sum of its proper divisors (3826128576).

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

2001335424 is a wasteful number, since it uses less digits than its factorization.

2001335424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2001335424 is about 44736.2875527239. The cubic root of 2001335424 is about 1260.2014089724.

Adding to 2001335424 its reverse (4245331002), we get a palindrome (6246666426).

The spelling of 2001335424 in words is "two billion, one million, three hundred thirty-five thousand, four hundred twenty-four".