2116080129240 has 2304 divisors, whose sum is σ = 10009313233920. Its totient is φ = 395463720960.

The previous prime is 2116080129227. The next prime is 2116080129253. The reversal of 2116080129240 is 429210806112.

2116080129240 is a `hidden beast` number, since 2 + 1 + 1 + 608 + 0 + 1 + 2 + 9 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2116080129227) and next prime (2116080129253).

It is a super-2 number, since 2×2116080129240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2116080129195 and 2116080129204.

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 2048479764 + ... + 2048480796.

It is an arithmetic number, because the mean of its divisors is an integer number (4344319980).

Almost surely, 2^{2116080129240} is an apocalyptic number.

2116080129240 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 2116080129240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004656616960).

2116080129240 is an abundant number, since it is smaller than the sum of its proper divisors (7893233104680).

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

2116080129240 is a wasteful number, since it uses less digits than its factorization.

2116080129240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2116080129240 in words is "two trillion, one hundred sixteen billion, eighty million, one hundred twenty-nine thousand, two hundred forty".