2001343522400 has 288 divisors, whose sum is σ = 5373063914400. Its totient is φ = 724985856000.

The previous prime is 2001343522357. The next prime is 2001343522403. The reversal of 2001343522400 is 42253431002.

It is a self number, because there is not a number n which added to its sum of digits gives 2001343522400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001343522403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44498324 + ... + 44543276.

It is an arithmetic number, because the mean of its divisors is an integer number (18656471925).

Almost surely, 2^{2001343522400} is an apocalyptic number.

2001343522400 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 2001343522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686531957200).

2001343522400 is an abundant number, since it is smaller than the sum of its proper divisors (3371720392000).

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

2001343522400 is a wasteful number, since it uses less digits than its factorization.

2001343522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45122 (or 45109 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 2001343522400 its reverse (42253431002), we get a palindrome (2043596953402).

The spelling of 2001343522400 in words is "two trillion, one billion, three hundred forty-three million, five hundred twenty-two thousand, four hundred".