201442020 has 96 divisors (see below), whose sum is σ = 622339200. Its totient is φ = 48368640.

The previous prime is 201442001. The next prime is 201442037. The reversal of 201442020 is 20244102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28831 + ... + 35129.

It is an arithmetic number, because the mean of its divisors is an integer number (6482700).

Almost surely, 2^201442020 is an apocalyptic number.

201442020 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 201442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311169600).

201442020 is an abundant number, since it is smaller than the sum of its proper divisors (420897180).

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

201442020 is a wasteful number, since it uses less digits than its factorization.

201442020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 201442020 is about 14193.0271612507. The cubic root of 201442020 is about 586.2056805360.

Adding to 201442020 its reverse (20244102), we get a palindrome (221686122).

The spelling of 201442020 in words is "two hundred one million, four hundred forty-two thousand, twenty".