2785769441016 has 192 divisors, whose sum is σ = 7786294490880. Its totient is φ = 827579151360.

The previous prime is 2785769440981. The next prime is 2785769441029. The reversal of 2785769441016 is 6101449675872.

It is a super-3 number, since 3×2785769441016³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 517125475 + ... + 517130861.

It is an arithmetic number, because the mean of its divisors is an integer number (40553617140).

Almost surely, 2^{2785769441016} 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 2785769441016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893147245440).

2785769441016 is an abundant number, since it is smaller than the sum of its proper divisors (5000525049864).

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

2785769441016 is a wasteful number, since it uses less digits than its factorization.

2785769441016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8962 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 2785769441016 in words is "two trillion, seven hundred eighty-five billion, seven hundred sixty-nine million, four hundred forty-one thousand, sixteen".