2820096000000 has 1260 divisors, whose sum is σ = 11151174724074. Its totient is φ = 707788800000.

The previous prime is 2820095999993. The next prime is 2820096000013. The reversal of 2820096000000 is 6900282.

It can be written as a sum of positive squares in 7 ways, for example, as 1089334738944 + 1730761261056 = 1043712^2 + 1315584^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 165887999992 + ... + 165888000008.

Almost surely, 2^{2820096000000} is an apocalyptic number.

2820096000000 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 2820096000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575587362037).

2820096000000 is an abundant number, since it is smaller than the sum of its proper divisors (8331078724074).

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

2820096000000 is an frugal number, since it uses more digits than its factorization.

2820096000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 2820096000000 in words is "two trillion, eight hundred twenty billion, ninety-six million", and thus it is an aban number.