2092771042416 has 240 divisors, whose sum is σ = 6286269007200. Its totient is φ = 673208008704.

The previous prime is 2092771042381. The next prime is 2092771042421. The reversal of 2092771042416 is 6142401772902.

2092771042416 is a `hidden beast` number, since 209 + 2 + 7 + 7 + 1 + 0 + 424 + 16 = 666.

It is a super-2 number, since 2×2092771042416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357308160 + ... + 357314016.

It is an arithmetic number, because the mean of its divisors is an integer number (26192787530).

Almost surely, 2^{2092771042416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092771042416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143134503600).

2092771042416 is an abundant number, since it is smaller than the sum of its proper divisors (4193497964784).

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

2092771042416 is a wasteful number, since it uses less digits than its factorization.

2092771042416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9078 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2092771042416 in words is "two trillion, ninety-two billion, seven hundred seventy-one million, forty-two thousand, four hundred sixteen".