2009185554432 has 832 divisors, whose sum is σ = 6673161830400. Its totient is φ = 524949258240.

The previous prime is 2009185554427. The next prime is 2009185554473. The reversal of 2009185554432 is 2344555819002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6460403557 + ... + 6460403867.

It is an arithmetic number, because the mean of its divisors is an integer number (8020627200).

Almost surely, 2^{2009185554432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009185554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336580915200).

2009185554432 is an abundant number, since it is smaller than the sum of its proper divisors (4663976275968).

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

2009185554432 is a wasteful number, since it uses less digits than its factorization.

2009185554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 2009185554432 in words is "two trillion, nine billion, one hundred eighty-five million, five hundred fifty-four thousand, four hundred thirty-two".