2001541344 has 144 divisors (see below), whose sum is σ = 5932466064. Its totient is φ = 590008320.

The previous prime is 2001541327. The next prime is 2001541357. The reversal of 2001541344 is 4431451002.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427464 + ... + 432120.

It is an arithmetic number, because the mean of its divisors is an integer number (41197681).

Almost surely, 2^2001541344 is an apocalyptic number.

2001541344 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 2001541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966233032).

2001541344 is an abundant number, since it is smaller than the sum of its proper divisors (3930924720).

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

2001541344 is a wasteful number, since it uses less digits than its factorization.

2001541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2001541344 is about 44738.5889808787. The cubic root of 2001541344 is about 1260.2446287432.

Adding to 2001541344 its reverse (4431451002), we get a palindrome (6432992346).

It can be divided in two parts, 2001 and 541344, that added together give a palindrome (543345).

The spelling of 2001541344 in words is "two billion, one million, five hundred forty-one thousand, three hundred forty-four".