2041520509728 has 216 divisors, whose sum is σ = 6759686449152. Its totient is φ = 582750588672.

The previous prime is 2041520509709. The next prime is 2041520509757. The reversal of 2041520509728 is 8279050251402.

2041520509728 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 520 + 50 + 9 + 72 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 15273201 + ... + 15406287.

It is an arithmetic number, because the mean of its divisors is an integer number (31294844672).

Almost surely, 2^{2041520509728} is an apocalyptic number.

2041520509728 is a gapful number since it is divisible by the number (28) 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 2041520509728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379843224576).

2041520509728 is an abundant number, since it is smaller than the sum of its proper divisors (4718165939424).

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

2041520509728 is a wasteful number, since it uses less digits than its factorization.

2041520509728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134204 (or 134186 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 2041520509728 in words is "two trillion, forty-one billion, five hundred twenty million, five hundred nine thousand, seven hundred twenty-eight".