2804665680 has 120 divisors (see below), whose sum is σ = 9648835560. Its totient is φ = 729661440.

The previous prime is 2804665673. The next prime is 2804665681. The reversal of 2804665680 is 865664082.

2804665680 is a `hidden beast` number, since 2 + 80 + 4 + 6 + 6 + 568 + 0 = 666.

2804665680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 2795448384 = 3036^2 + 52872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2804665680² = 15732299153139724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2804665681) 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, 17985 + ... + 77024.

It is an arithmetic number, because the mean of its divisors is an integer number (80406963).

Almost surely, 2^2804665680 is an apocalyptic number.

2804665680 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 2804665680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824417780).

2804665680 is an abundant number, since it is smaller than the sum of its proper divisors (6844169880).

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

2804665680 is a wasteful number, since it uses less digits than its factorization.

2804665680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95069 (or 95060 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2804665680 is about 52959.0944031334. The cubic root of 2804665680 is about 1410.2421796174.

It can be divided in two parts, 280466 and 5680, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 2804665680 in words is "two billion, eight hundred four million, six hundred sixty-five thousand, six hundred eighty".