2820667680 has 288 divisors, whose sum is σ = 10019842560. Its totient is φ = 721797120.

The previous prime is 2820667679. The next prime is 2820667691. The reversal of 2820667680 is 867660282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7990384 + ... + 7990736.

It is an arithmetic number, because the mean of its divisors is an integer number (34791120).

Almost surely, 2^2820667680 is an apocalyptic number.

2820667680 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 2820667680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009921280).

2820667680 is an abundant number, since it is smaller than the sum of its proper divisors (7199174880).

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

2820667680 is a wasteful number, since it uses less digits than its factorization.

2820667680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2820667680 is about 53109.9583882345. The cubic root of 2820667680 is about 1412.9191371602.

The spelling of 2820667680 in words is "two billion, eight hundred twenty million, six hundred sixty-seven thousand, six hundred eighty".