2820159378720 has 768 divisors, whose sum is σ = 10663307182080. Its totient is φ = 693580382208.

The previous prime is 2820159378689. The next prime is 2820159378721. The reversal of 2820159378720 is 278739510282.

2820159378720 is a `hidden beast` number, since 2 + 8 + 20 + 1 + 593 + 7 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2820159378721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 774129219 + ... + 774132861.

It is an arithmetic number, because the mean of its divisors is an integer number (13884514560).

Almost surely, 2^{2820159378720} is an apocalyptic number.

2820159378720 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 2820159378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331653591040).

2820159378720 is an abundant number, since it is smaller than the sum of its proper divisors (7843147803360).

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

2820159378720 is a wasteful number, since it uses less digits than its factorization.

2820159378720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 2820159378720 in words is "two trillion, eight hundred twenty billion, one hundred fifty-nine million, three hundred seventy-eight thousand, seven hundred twenty".