2685785256 has 768 divisors, whose sum is σ = 10637568000. Its totient is φ = 617379840.

The previous prime is 2685785227. The next prime is 2685785257. The reversal of 2685785256 is 6525875862.

2685785256 is a `hidden beast` number, since 2 + 68 + 57 + 8 + 525 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685785257) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45521755 + ... + 45521813.

It is an arithmetic number, because the mean of its divisors is an integer number (13851000).

Almost surely, 2^2685785256 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 2685785256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318784000).

2685785256 is an abundant number, since it is smaller than the sum of its proper divisors (7951782744).

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

2685785256 is a wasteful number, since it uses less digits than its factorization.

2685785256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 54.

The square root of 2685785256 is about 51824.5622846928. The cubic root of 2685785256 is about 1390.0286825336.

The spelling of 2685785256 in words is "two billion, six hundred eighty-five million, seven hundred eighty-five thousand, two hundred fifty-six".