2820610278480 has 160 divisors (see below), whose sum is σ = 8846998934400. Its totient is φ = 743302619136.

The previous prime is 2820610278443. The next prime is 2820610278553. The reversal of 2820610278480 is 848720160282.

It is a super-2 number, since 2×2820610278480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39843756 + ... + 39914484.

It is an arithmetic number, because the mean of its divisors is an integer number (55293743340).

Almost surely, 2^{2820610278480} is an apocalyptic number.

2820610278480 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 2820610278480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423499467200).

2820610278480 is an abundant number, since it is smaller than the sum of its proper divisors (6026388655920).

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

2820610278480 is a wasteful number, since it uses less digits than its factorization.

2820610278480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72701 (or 72695 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 2820610278480 in words is "two trillion, eight hundred twenty billion, six hundred ten million, two hundred seventy-eight thousand, four hundred eighty".