2117841508440 has 768 divisors, whose sum is σ = 8122622976000. Its totient is φ = 468624199680.

The previous prime is 2117841508427. The next prime is 2117841508441. The reversal of 2117841508440 is 448051487112.

2117841508440 is a `hidden beast` number, since 2 + 117 + 8 + 41 + 50 + 8 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117841508441) 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 191 ways as a sum of consecutive naturals, for example, 3802228642 + ... + 3802229198.

It is an arithmetic number, because the mean of its divisors is an integer number (10576332000).

Almost surely, 2^{2117841508440} is an apocalyptic number.

2117841508440 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 2117841508440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061311488000).

2117841508440 is an abundant number, since it is smaller than the sum of its proper divisors (6004781467560).

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

2117841508440 is a wasteful number, since it uses less digits than its factorization.

2117841508440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 2117841508440 in words is "two trillion, one hundred seventeen billion, eight hundred forty-one million, five hundred eight thousand, four hundred forty".