2072186829648 has 240 divisors, whose sum is σ = 6356593152000. Its totient is φ = 626256479232.

The previous prime is 2072186829617. The next prime is 2072186829649. The reversal of 2072186829648 is 8469286812702.

2072186829648 is a `hidden beast` number, since 207 + 21 + 86 + 8 + 296 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072186829649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141255658 + ... + 141270326.

It is an arithmetic number, because the mean of its divisors is an integer number (26485804800).

Almost surely, 2^{2072186829648} 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 2072186829648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178296576000).

2072186829648 is an abundant number, since it is smaller than the sum of its proper divisors (4284406322352).

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

2072186829648 is a wasteful number, since it uses less digits than its factorization.

2072186829648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16034 (or 16025 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2072186829648 in words is "two trillion, seventy-two billion, one hundred eighty-six million, eight hundred twenty-nine thousand, six hundred forty-eight".