2020414102020 has 288 divisors, whose sum is σ = 6246209773440. Its totient is φ = 528556492800.

The previous prime is 2020414102019. The next prime is 2020414102033. The reversal of 2020414102020 is 202014140202.

2020414102020 is a `hidden beast` number, since 20 + 20 + 414 + 10 + 202 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2020414101984 and 2020414102002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1212005227 + ... + 1212006893.

It is an arithmetic number, because the mean of its divisors is an integer number (21688228380).

Almost surely, 2^{2020414102020} is an apocalyptic number.

2020414102020 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 2020414102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123104886720).

2020414102020 is an abundant number, since it is smaller than the sum of its proper divisors (4225795671420).

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

2020414102020 is a wasteful number, since it uses less digits than its factorization.

2020414102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2020414102020 its reverse (202014140202), we get a palindrome (2222428242222).

The spelling of 2020414102020 in words is "two trillion, twenty billion, four hundred fourteen million, one hundred two thousand, twenty".