2006997917184 has 480 divisors, whose sum is σ = 6750311952384. Its totient is φ = 590677401600.

The previous prime is 2006997917173. The next prime is 2006997917189. The reversal of 2006997917184 is 4817197996002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006997917189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37173409 + ... + 37227359.

Almost surely, 2^{2006997917184} is an apocalyptic number.

2006997917184 is a gapful number since it is divisible by the number (24) 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 2006997917184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375155976192).

2006997917184 is an abundant number, since it is smaller than the sum of its proper divisors (4743314035200).

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

2006997917184 is an equidigital number, since it uses as much as digits as its factorization.

2006997917184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54020 (or 53992 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 2006997917184 in words is "two trillion, six billion, nine hundred ninety-seven million, nine hundred seventeen thousand, one hundred eighty-four".