2017113840 has 440 divisors, whose sum is σ = 8171390688. Its totient is φ = 453496320.

The previous prime is 2017113829. The next prime is 2017113851. The reversal of 2017113840 is 483117102.

It is an interprime number because it is at equal distance from previous prime (2017113829) and next prime (2017113851).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 87 ways as a sum of consecutive naturals, for example, 33067410 + ... + 33067470.

Almost surely, 2^2017113840 is an apocalyptic number.

2017113840 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 2017113840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085695344).

2017113840 is an abundant number, since it is smaller than the sum of its proper divisors (6154276848).

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

2017113840 is an frugal number, since it uses more digits than its factorization.

2017113840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2017113840 is about 44912.2905227511. The cubic root of 2017113840 is about 1263.5045292761.

The spelling of 2017113840 in words is "two billion, seventeen million, one hundred thirteen thousand, eight hundred forty".