2684665180032 has 128 divisors (see below), whose sum is σ = 7786200453120. Its totient is φ = 812826624000.

The previous prime is 2684665180019. The next prime is 2684665180037. The reversal of 2684665180032 is 2300815664862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684665180037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4585728 + ... + 5137920.

It is an arithmetic number, because the mean of its divisors is an integer number (60829691040).

Almost surely, 2^{2684665180032} is an apocalyptic number.

2684665180032 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 2684665180032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893100226560).

2684665180032 is an abundant number, since it is smaller than the sum of its proper divisors (5101535273088).

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

2684665180032 is a wasteful number, since it uses less digits than its factorization.

2684665180032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553372 (or 553360 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 2684665180032 in words is "two trillion, six hundred eighty-four billion, six hundred sixty-five million, one hundred eighty thousand, thirty-two".