2785656960 has 512 divisors, whose sum is σ = 10598860800. Its totient is φ = 689762304.

The previous prime is 2785656953. The next prime is 2785656971. The reversal of 2785656960 is 696565872.

It is a happy number.

2785656960 is a `hidden beast` number, since 2 + 78 + 5 + 6 + 569 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2785656897 and 2785656906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17089839 + ... + 17090001.

It is an arithmetic number, because the mean of its divisors is an integer number (20700900).

Almost surely, 2^2785656960 is an apocalyptic number.

2785656960 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 2785656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299430400).

2785656960 is an abundant number, since it is smaller than the sum of its proper divisors (7813203840).

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

2785656960 is a wasteful number, since it uses less digits than its factorization.

2785656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 2785656960 is about 52779.3232241566. The cubic root of 2785656960 is about 1407.0489660674.

The spelling of 2785656960 in words is "two billion, seven hundred eighty-five million, six hundred fifty-six thousand, nine hundred sixty".