2040790721568 has 96 divisors (see below), whose sum is σ = 5380947936000. Its totient is φ = 677233729536.

The previous prime is 2040790721509. The next prime is 2040790721647. The reversal of 2040790721568 is 8651270970402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2040790721568.

It is an unprimeable number.

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, 104362480 + ... + 104382032.

It is an arithmetic number, because the mean of its divisors is an integer number (56051541000).

Almost surely, 2^{2040790721568} 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 2040790721568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690473968000).

2040790721568 is an abundant number, since it is smaller than the sum of its proper divisors (3340157214432).

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

2040790721568 is a wasteful number, since it uses less digits than its factorization.

2040790721568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354 (or 24346 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 2040790721568 in words is "two trillion, forty billion, seven hundred ninety million, seven hundred twenty-one thousand, five hundred sixty-eight".