2820666551040 has 864 divisors, whose sum is σ = 10957596826176. Its totient is φ = 690598379520.

The previous prime is 2820666550981. The next prime is 2820666551051. The reversal of 2820666551040 is 401556660282.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 796571670 + ... + 796575210.

It is an arithmetic number, because the mean of its divisors is an integer number (12682403734).

Almost surely, 2^{2820666551040} is an apocalyptic number.

2820666551040 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 2820666551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478798413088).

2820666551040 is an abundant number, since it is smaller than the sum of its proper divisors (8136930275136).

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

2820666551040 is a wasteful number, since it uses less digits than its factorization.

2820666551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2820666551040 in words is "two trillion, eight hundred twenty billion, six hundred sixty-six million, five hundred fifty-one thousand, forty".