2805780100500 has 960 divisors, whose sum is σ = 10281011220480. Its totient is φ = 661488768000.

The previous prime is 2805780100483. The next prime is 2805780100619. The reversal of 2805780100500 is 50010875082.

2805780100500 is a `hidden beast` number, since 2 + 80 + 5 + 78 + 0 + 1 + 0 + 0 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 1681113666 + ... + 1681115334.

It is an arithmetic number, because the mean of its divisors is an integer number (10709386688).

Almost surely, 2^{2805780100500} is an apocalyptic number.

2805780100500 is a gapful number since it is divisible by the number (20) 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 2805780100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140505610240).

2805780100500 is an abundant number, since it is smaller than the sum of its proper divisors (7475231119980).

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

2805780100500 is a wasteful number, since it uses less digits than its factorization.

2805780100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 2805780100500 its reverse (50010875082), we get a palindrome (2855790975582).

The spelling of 2805780100500 in words is "two trillion, eight hundred five billion, seven hundred eighty million, one hundred thousand, five hundred".