2685551616 has 264 divisors, whose sum is σ = 8621964000. Its totient is φ = 798228480.

The previous prime is 2685551611. The next prime is 2685551623. The reversal of 2685551616 is 6161555862.

2685551616 is a `hidden beast` number, since 2 + 6 + 85 + 551 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-3 number, since 3×2685551616³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685551611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5980960 + ... + 5981408.

Almost surely, 2^2685551616 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 2685551616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310982000).

2685551616 is an abundant number, since it is smaller than the sum of its proper divisors (5936412384).

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

2685551616 is a wasteful number, since it uses less digits than its factorization.

2685551616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 524 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 2685551616 is about 51822.3080921720. The cubic root of 2685551616 is about 1389.9883745556.

The spelling of 2685551616 in words is "two billion, six hundred eighty-five million, five hundred fifty-one thousand, six hundred sixteen".