2805780765060 has 216 divisors, whose sum is σ = 10661967342936. Its totient is φ = 591988884480.

The previous prime is 2805780765059. The next prime is 2805780765061. The reversal of 2805780765060 is 605670875082.

2805780765060 is a `hidden beast` number, since 2 + 8 + 0 + 57 + 80 + 7 + 6 + 506 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2805780765059) and next prime (2805780765061).

It can be written as a sum of positive squares in 4 ways, for example, as 110063370564 + 2695717394496 = 331758^2 + 1641864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2805780764988 and 2805780765006.

It is not an unprimeable number, because it can be changed into a prime (2805780765061) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12120561 + ... + 12349880.

It is an arithmetic number, because the mean of its divisors is an integer number (49360959921).

Almost surely, 2^{2805780765060} is an apocalyptic number.

2805780765060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2805780765060 is an abundant number, since it is smaller than the sum of its proper divisors (7856186577876).

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

2805780765060 is a wasteful number, since it uses less digits than its factorization.

2805780765060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24470483 (or 24470471 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2805780765060 in words is "two trillion, eight hundred five billion, seven hundred eighty million, seven hundred sixty-five thousand, sixty".