2782487620080 has 1280 divisors, whose sum is σ = 11404070092800. Its totient is φ = 610532536320.

The previous prime is 2782487620063. The next prime is 2782487620117. The reversal of 2782487620080 is 800267842872.

2782487620080 is a `hidden beast` number, since 2 + 7 + 8 + 2 + 4 + 8 + 7 + 620 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2782487619999 and 2782487620026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12477522849 + ... + 12477523071.

It is an arithmetic number, because the mean of its divisors is an integer number (8909429760).

Almost surely, 2^{2782487620080} is an apocalyptic number.

2782487620080 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 2782487620080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702035046400).

2782487620080 is an abundant number, since it is smaller than the sum of its proper divisors (8621582472720).

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

2782487620080 is a wasteful number, since it uses less digits than its factorization.

2782487620080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 2782487620080 in words is "two trillion, seven hundred eighty-two billion, four hundred eighty-seven million, six hundred twenty thousand, eighty".