2040364581696 has 504 divisors, whose sum is σ = 7155143424000. Its totient is φ = 553202141184.

The previous prime is 2040364581691. The next prime is 2040364581721. The reversal of 2040364581696 is 6961854630402.

2040364581696 is a `hidden beast` number, since 20 + 4 + 0 + 3 + 6 + 458 + 169 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040364581691) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 82429930 + ... + 82454678.

Almost surely, 2^{2040364581696} 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 2040364581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577571712000).

2040364581696 is an abundant number, since it is smaller than the sum of its proper divisors (5114778842304).

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

2040364581696 is a wasteful number, since it uses less digits than its factorization.

2040364581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24931 (or 24911 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2040364581696 in words is "two trillion, forty billion, three hundred sixty-four million, five hundred eighty-one thousand, six hundred ninety-six".