2820114020 has 72 divisors (see below), whose sum is σ = 6494449920. Its totient is φ = 1027376640.

The previous prime is 2820114013. The next prime is 2820114023. The reversal of 2820114020 is 204110282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2820113983 and 2820114001.

It is not an unprimeable number, because it can be changed into a prime (2820114023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171311 + ... + 187049.

Almost surely, 2^2820114020 is an apocalyptic number.

2820114020 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 2820114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247224960).

2820114020 is an abundant number, since it is smaller than the sum of its proper divisors (3674335900).

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

2820114020 is a wasteful number, since it uses less digits than its factorization.

2820114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15813 (or 15794 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2820114020 is about 53104.7457389639. The cubic root of 2820114020 is about 1412.8266852910.

The spelling of 2820114020 in words is "two billion, eight hundred twenty million, one hundred fourteen thousand, twenty".