2820518002224 has 480 divisors, whose sum is σ = 9516170926080. Its totient is φ = 801484637184.

The previous prime is 2820518002213. The next prime is 2820518002229. The reversal of 2820518002224 is 4222008150282.

It is a happy number.

2820518002224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2820518002229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33671017 + ... + 33754679.

It is an arithmetic number, because the mean of its divisors is an integer number (19825356096).

Almost surely, 2^{2820518002224} is an apocalyptic number.

2820518002224 is a gapful number since it is divisible by the number (24) 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 2820518002224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758085463040).

2820518002224 is an abundant number, since it is smaller than the sum of its proper divisors (6695652923856).

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

2820518002224 is a wasteful number, since it uses less digits than its factorization.

2820518002224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83751 (or 83733 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 2820518002224 in words is "two trillion, eight hundred twenty billion, five hundred eighteen million, two thousand, two hundred twenty-four".