2782731055104 has 2912 divisors, whose sum is σ = 12032513472000. Its totient is φ = 632073093120.

The previous prime is 2782731055087. The next prime is 2782731055129. The reversal of 2782731055104 is 4015501372872.

2782731055104 is a `hidden beast` number, since 2 + 7 + 8 + 27 + 3 + 105 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a self number, because there is not a number n which added to its sum of digits gives 2782731055104.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 146459529207 + ... + 146459529225.

Almost surely, 2^{2782731055104} is an apocalyptic number.

2782731055104 is a gapful number since it is divisible by the number (24) 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 2782731055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016256736000).

2782731055104 is an abundant number, since it is smaller than the sum of its proper divisors (9249782416896).

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

2782731055104 is an equidigital number, since it uses as much as digits as its factorization.

2782731055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 2782731055104 in words is "two trillion, seven hundred eighty-two billion, seven hundred thirty-one million, fifty-five thousand, one hundred four".