2820583221120 has 2304 divisors, whose sum is σ = 12607803187200. Its totient is φ = 578494586880.

The previous prime is 2820583221119. The next prime is 2820583221121. The reversal of 2820583221120 is 211223850282.

2820583221120 is a `hidden beast` number, since 2 + 8 + 20 + 583 + 22 + 11 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2820583221119) and next prime (2820583221121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820583221121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60012408937 + ... + 60012408983.

It is an arithmetic number, because the mean of its divisors is an integer number (5472136800).

Almost surely, 2^{2820583221120} is an apocalyptic number.

2820583221120 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 2820583221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303901593600).

2820583221120 is an abundant number, since it is smaller than the sum of its proper divisors (9787219966080).

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

2820583221120 is a wasteful number, since it uses less digits than its factorization.

2820583221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 2820583221120 in words is "two trillion, eight hundred twenty billion, five hundred eighty-three million, two hundred twenty-one thousand, one hundred twenty".