42002010 has 64 divisors (see below), whose sum is σ = 113592960. Its totient is φ = 11041920.

The previous prime is 42001997. The next prime is 42002017. The reversal of 42002010 is 1020024.

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 = 42001983 and 42002001.

It is not an unprimeable number, because it can be changed into a prime (42002017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18645 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (1774890).

Almost surely, 2^42002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56796480).

42002010 is an abundant number, since it is smaller than the sum of its proper divisors (71590950).

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

42002010 is a wasteful number, since it uses less digits than its factorization.

42002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2214 counting only the distinct ones).

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

The square root of 42002010 is about 6480.8957714193. The cubic root of 42002010 is about 347.6082094903.

Adding to 42002010 its reverse (1020024), we get a palindrome (43022034).

The spelling of 42002010 in words is "forty-two million, two thousand, ten".