2114916782160 has 320 divisors, whose sum is σ = 8071823370240. Its totient is φ = 446080296960.

The previous prime is 2114916782141. The next prime is 2114916782177. The reversal of 2114916782160 is 612876194112.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 76229571 + ... + 76257309.

It is an arithmetic number, because the mean of its divisors is an integer number (25224448032).

Almost surely, 2^{2114916782160} is an apocalyptic number.

2114916782160 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 2114916782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035911685120).

2114916782160 is an abundant number, since it is smaller than the sum of its proper divisors (5956906588080).

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

2114916782160 is a wasteful number, since it uses less digits than its factorization.

2114916782160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31266 (or 31260 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 2114916782160 in words is "two trillion, one hundred fourteen billion, nine hundred sixteen million, seven hundred eighty-two thousand, one hundred sixty".