2072206616800 has 144 divisors (see below), whose sum is σ = 5183731501200. Its totient is φ = 808420659200.

The previous prime is 2072206616797. The next prime is 2072206616813. The reversal of 2072206616800 is 86166022702.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138703731 + ... + 138718669.

It is an arithmetic number, because the mean of its divisors is an integer number (35998135425).

Almost surely, 2^{2072206616800} is an apocalyptic number.

2072206616800 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 2072206616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591865750600).

2072206616800 is an abundant number, since it is smaller than the sum of its proper divisors (3111524884400).

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

2072206616800 is a wasteful number, since it uses less digits than its factorization.

2072206616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19229 (or 19216 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 2072206616800 in words is "two trillion, seventy-two billion, two hundred six million, six hundred sixteen thousand, eight hundred".