2820000100020 has 48 divisors (see below), whose sum is σ = 7898136687168. Its totient is φ = 751796559360.

The previous prime is 2820000100009. The next prime is 2820000100031. The reversal of 2820000100020 is 200010000282.

It is an interprime number because it is at equal distance from previous prime (2820000100009) and next prime (2820000100031).

It is a super-2 number, since 2×2820000100020² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6134686 + ... + 6578325.

It is an arithmetic number, because the mean of its divisors is an integer number (164544514316).

Almost surely, 2^{2820000100020} is an apocalyptic number.

2820000100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820000100020 is an abundant number, since it is smaller than the sum of its proper divisors (5078136587148).

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

2820000100020 is a wasteful number, since it uses less digits than its factorization.

2820000100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716720 (or 12716718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The spelling of 2820000100020 in words is "two trillion, eight hundred twenty billion, one hundred thousand, twenty".