2820319020000 has 480 divisors, whose sum is σ = 10633634272800. Its totient is φ = 726147072000.

The previous prime is 2820319019963. The next prime is 2820319020037. The reversal of 2820319020000 is 209130282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2820319019963) and next prime (2820319020037).

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15569952 + ... + 15750048.

It is an arithmetic number, because the mean of its divisors is an integer number (22153404735).

Almost surely, 2^{2820319020000} is an apocalyptic number.

2820319020000 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 2820319020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316817136400).

2820319020000 is an abundant number, since it is smaller than the sum of its proper divisors (7813315252800).

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

2820319020000 is a wasteful number, since it uses less digits than its factorization.

2820319020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180165 (or 180136 counting only the distinct ones).

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

The spelling of 2820319020000 in words is "two trillion, eight hundred twenty billion, three hundred nineteen million, twenty thousand".