2001332332032 has 320 divisors, whose sum is σ = 6165070838784. Its totient is φ = 570182205440.

The previous prime is 2001332332019. The next prime is 2001332332063. The reversal of 2001332332032 is 2302332331002.

It is a super-2 number, since 2×2001332332032² (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 a junction number, because it is equal to n+sod(n) for n = 2001332331993 and 2001332332011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316813738 + ... + 316820054.

Almost surely, 2^{2001332332032} is an apocalyptic number.

2001332332032 is a gapful number since it is divisible by the number (22) 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 2001332332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082535419392).

2001332332032 is an abundant number, since it is smaller than the sum of its proper divisors (4163738506752).

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

2001332332032 is a wasteful number, since it uses less digits than its factorization.

2001332332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7469 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 2001332332032 its reverse (2302332331002), we get a palindrome (4303664663034).

The spelling of 2001332332032 in words is "two trillion, one billion, three hundred thirty-two million, three hundred thirty-two thousand, thirty-two".