2556784494384 has 160 divisors (see below), whose sum is σ = 6951591736320. Its totient is φ = 808699852800.

The previous prime is 2556784494379. The next prime is 2556784494413. The reversal of 2556784494384 is 4834944876552.

It is a super-3 number, since 3×2556784494384³ (a number of 38 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 272254329 + ... + 272263719.

It is an arithmetic number, because the mean of its divisors is an integer number (43447448352).

Almost surely, 2^{2556784494384} is an apocalyptic number.

2556784494384 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 2556784494384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475795868160).

2556784494384 is an abundant number, since it is smaller than the sum of its proper divisors (4394807241936).

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

2556784494384 is a wasteful number, since it uses less digits than its factorization.

2556784494384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13219 (or 13213 counting only the distinct ones).

The product of its digits is 928972800, while the sum is 69.

The spelling of 2556784494384 in words is "two trillion, five hundred fifty-six billion, seven hundred eighty-four million, four hundred ninety-four thousand, three hundred eighty-four".