2820008440704 has 512 divisors, whose sum is σ = 9424196812800. Its totient is φ = 727385038848.

The previous prime is 2820008440621. The next prime is 2820008440723. The reversal of 2820008440704 is 4070448000282.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295376859 + ... + 295386405.

It is an arithmetic number, because the mean of its divisors is an integer number (18406634400).

Almost surely, 2^{2820008440704} is an apocalyptic number.

2820008440704 is a gapful number since it is divisible by the number (24) 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 2820008440704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712098406400).

2820008440704 is an abundant number, since it is smaller than the sum of its proper divisors (6604188372096).

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

2820008440704 is a wasteful number, since it uses less digits than its factorization.

2820008440704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9770 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The spelling of 2820008440704 in words is "two trillion, eight hundred twenty billion, eight million, four hundred forty thousand, seven hundred four".