2072115920240 has 80 divisors (see below), whose sum is σ = 4974454757376. Its totient is φ = 801887366400.

The previous prime is 2072115920201. The next prime is 2072115920261. The reversal of 2072115920240 is 420295112702.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2072115920240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8990279 + ... + 9217881.

Almost surely, 2^{2072115920240} is an apocalyptic number.

2072115920240 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 2072115920240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487227378688).

2072115920240 is an abundant number, since it is smaller than the sum of its proper divisors (2902338837136).

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

2072115920240 is a wasteful number, since it uses less digits than its factorization.

2072115920240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231318 (or 231312 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 2072115920240 in words is "two trillion, seventy-two billion, one hundred fifteen million, nine hundred twenty thousand, two hundred forty".