2820821760 has 252 divisors, whose sum is σ = 10133841312. Its totient is φ = 751970304.

The previous prime is 2820821753. The next prime is 2820821761. The reversal of 2820821760 is 671280282.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2820821761) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 931609 + ... + 934631.

It is an arithmetic number, because the mean of its divisors is an integer number (40213656).

Almost surely, 2^2820821760 is an apocalyptic number.

2820821760 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 2820821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066920656).

2820821760 is an abundant number, since it is smaller than the sum of its proper divisors (7313019552).

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

2820821760 is an frugal number, since it uses more digits than its factorization.

2820821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2820821760 is about 53111.4089438418. The cubic root of 2820821760 is about 1412.9448637661.

The spelling of 2820821760 in words is "two billion, eight hundred twenty million, eight hundred twenty-one thousand, seven hundred sixty".