2113782617184 has 192 divisors, whose sum is σ = 6795267365376. Its totient is φ = 561563541504.

The previous prime is 2113782617171. The next prime is 2113782617203. The reversal of 2113782617184 is 4817162873112.

It is a super-3 number, since 3×2113782617184³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 166447 + ... + 2062830.

It is an arithmetic number, because the mean of its divisors is an integer number (35392017528).

Almost surely, 2^{2113782617184} is an apocalyptic number.

2113782617184 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 2113782617184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3397633682688).

2113782617184 is an abundant number, since it is smaller than the sum of its proper divisors (4681484748192).

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

2113782617184 is a wasteful number, since it uses less digits than its factorization.

2113782617184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229397 (or 2229389 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The spelling of 2113782617184 in words is "two trillion, one hundred thirteen billion, seven hundred eighty-two million, six hundred seventeen thousand, one hundred eighty-four".