2785566720 has 112 divisors (see below), whose sum is σ = 8913662640. Its totient is φ = 742785024.

The previous prime is 2785566701. The next prime is 2785566727. The reversal of 2785566720 is 276655872.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2785566720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2785566727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111546 + ... + 134214.

Almost surely, 2^2785566720 is an apocalyptic number.

2785566720 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 2785566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456831320).

2785566720 is an abundant number, since it is smaller than the sum of its proper divisors (6128095920).

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

2785566720 is an equidigital number, since it uses as much as digits as its factorization.

2785566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22703 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 2785566720 is about 52778.4683370027. The cubic root of 2785566720 is about 1407.0337723481.

The spelling of 2785566720 in words is "two billion, seven hundred eighty-five million, five hundred sixty-six thousand, seven hundred twenty".