2056784381184 has 288 divisors, whose sum is σ = 6405588582400. Its totient is φ = 580206551040.

The previous prime is 2056784381107. The next prime is 2056784381189. The reversal of 2056784381184 is 4811834876502.

It is a super-3 number, since 3×2056784381184³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056784381189) by changing a digit.

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, 5705697 + ... + 6055455.

Almost surely, 2^{2056784381184} is an apocalyptic number.

2056784381184 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 2056784381184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202794291200).

2056784381184 is an abundant number, since it is smaller than the sum of its proper divisors (4348804201216).

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

2056784381184 is a wasteful number, since it uses less digits than its factorization.

2056784381184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349841 (or 349827 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 2056784381184 in words is "two trillion, fifty-six billion, seven hundred eighty-four million, three hundred eighty-one thousand, one hundred eighty-four".