2001145035450 has 384 divisors, whose sum is σ = 5888593105920. Its totient is φ = 444320870400.

The previous prime is 2001145035437. The next prime is 2001145035451. The reversal of 2001145035450 is 545305411002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2001145035451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155979636 + ... + 155992464.

It is an arithmetic number, because the mean of its divisors is an integer number (15334877880).

Almost surely, 2^{2001145035450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001145035450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944296552960).

2001145035450 is an abundant number, since it is smaller than the sum of its proper divisors (3887448070470).

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

2001145035450 is a wasteful number, since it uses less digits than its factorization.

2001145035450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13022 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 2001145035450 in words is "two trillion, one billion, one hundred forty-five million, thirty-five thousand, four hundred fifty".