2001541531200 has 168 divisors, whose sum is σ = 6567466298112. Its totient is φ = 533684090880.

The previous prime is 2001541531139. The next prime is 2001541531217. The reversal of 2001541531200 is 21351451002.

It is a happy number.

It is a super-2 number, since 2×2001541531200² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56655942 + ... + 56691258.

Almost surely, 2^{2001541531200} is an apocalyptic number.

2001541531200 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 2001541531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283733149056).

2001541531200 is an abundant number, since it is smaller than the sum of its proper divisors (4565924766912).

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

2001541531200 is a wasteful number, since it uses less digits than its factorization.

2001541531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47149 (or 47134 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 2001541531200 its reverse (21351451002), we get a palindrome (2022892982202).

The spelling of 2001541531200 in words is "two trillion, one billion, five hundred forty-one million, five hundred thirty-one thousand, two hundred".