2820513664188 has 336 divisors, whose sum is σ = 8346459985920. Its totient is φ = 825860188800.

The previous prime is 2820513664187. The next prime is 2820513664231. The reversal of 2820513664188 is 8814663150282.

2820513664188 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 513 + 6 + 6 + 41 + 88 = 666.

2820513664188 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820513664187) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 792499953 + ... + 792503511.

It is an arithmetic number, because the mean of its divisors is an integer number (24840654720).

Almost surely, 2^{2820513664188} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820513664188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173229992960).

2820513664188 is an abundant number, since it is smaller than the sum of its proper divisors (5525946321732).

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

2820513664188 is a wasteful number, since it uses less digits than its factorization.

2820513664188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2820513664188 in words is "two trillion, eight hundred twenty billion, five hundred thirteen million, six hundred sixty-four thousand, one hundred eighty-eight".