2785680000 has 480 divisors, whose sum is σ = 10345703940. Its totient is φ = 718848000.

The previous prime is 2785679977. The next prime is 2785680031. The reversal of 2785680000 is 865872.

It can be written as a sum of positive squares in 10 ways, for example, as 50808384 + 2734871616 = 7128^2 + 52296^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 38159964 + ... + 38160036.

Almost surely, 2^2785680000 is an apocalyptic number.

2785680000 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 2785680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172851970).

2785680000 is an abundant number, since it is smaller than the sum of its proper divisors (7560023940).

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

2785680000 is an equidigital number, since it uses as much as digits as its factorization.

2785680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2785680000 is about 52779.5414909982. The cubic root of 2785680000 is about 1407.0528452623.

The spelling of 2785680000 in words is "two billion, seven hundred eighty-five million, six hundred eighty thousand".