1002022020 has 72 divisors (see below), whose sum is σ = 3059947800. Its totient is φ = 265405440.

The previous prime is 1002022003. The next prime is 1002022027. The reversal of 1002022020 is 202202001.

1002022020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40525956 + 961496064 = 6366^2 + 31008^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002021993 and 1002022011.

It is not an unprimeable number, because it can be changed into a prime (1002022027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8140 + ... + 45500.

It is an arithmetic number, because the mean of its divisors is an integer number (42499275).

Almost surely, 2^1002022020 is an apocalyptic number.

1002022020 is a gapful number since it is divisible by the number (10) 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 1002022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529973900).

1002022020 is an abundant number, since it is smaller than the sum of its proper divisors (2057925780).

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

1002022020 is a wasteful number, since it uses less digits than its factorization.

1002022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37525 (or 37520 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1002022020 is about 31654.7313999029. The cubic root of 1002022020 is about 1000.6735528913.

Adding to 1002022020 its reverse (202202001), we get a palindrome (1204224021).

The spelling of 1002022020 in words is "one billion, two million, twenty-two thousand, twenty".