2009393432000 has 112 divisors (see below), whose sum is σ = 5006064143808. Its totient is φ = 798943923200.

The previous prime is 2009393431987. The next prime is 2009393432009. The reversal of 2009393432000 is 2343939002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2009393432009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 583982 + ... + 2088018.

It is an arithmetic number, because the mean of its divisors is an integer number (44697001284).

Almost surely, 2^{2009393432000} is an apocalyptic number.

2009393432000 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 2009393432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503032071904).

2009393432000 is an abundant number, since it is smaller than the sum of its proper divisors (2996670711808).

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

2009393432000 is a wasteful number, since it uses less digits than its factorization.

2009393432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504231 (or 1504211 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 2009393432000 in words is "two trillion, nine billion, three hundred ninety-three million, four hundred thirty-two thousand".