2040679557792 has 144 divisors (see below), whose sum is σ = 6011707403520. Its totient is φ = 655940275200.

The previous prime is 2040679557767. The next prime is 2040679557793. The reversal of 2040679557792 is 2977559760402.

2040679557792 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 6 + 7 + 9 + 557 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2040679557793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2102059 + ... + 2915477.

It is an arithmetic number, because the mean of its divisors is an integer number (41747968080).

Almost surely, 2^{2040679557792} 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 2040679557792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005853701760).

2040679557792 is an abundant number, since it is smaller than the sum of its proper divisors (3971027845728).

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

2040679557792 is a wasteful number, since it uses less digits than its factorization.

2040679557792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813747 (or 813736 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 2040679557792 in words is "two trillion, forty billion, six hundred seventy-nine million, five hundred fifty-seven thousand, seven hundred ninety-two".