2116226396160 has 312 divisors, whose sum is σ = 7721440112880. Its totient is φ = 534624731136.

The previous prime is 2116226396129. The next prime is 2116226396191. The reversal of 2116226396160 is 616936226112.

2116226396160 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 2 + 2 + 639 + 6 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2116226396129) and next prime (2116226396191).

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

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 23 ways as a sum of consecutive naturals, for example, 3199942 + ... + 3804218.

It is an arithmetic number, because the mean of its divisors is an integer number (24748205490).

Almost surely, 2^{2116226396160} is an apocalyptic number.

2116226396160 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 2116226396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860720056440).

2116226396160 is an abundant number, since it is smaller than the sum of its proper divisors (5605213716720).

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

2116226396160 is a wasteful number, since it uses less digits than its factorization.

2116226396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604331 (or 604306 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 2116226396160 in words is "two trillion, one hundred sixteen billion, two hundred twenty-six million, three hundred ninety-six thousand, one hundred sixty".