2410442034 has 128 divisors (see below), whose sum is σ = 6648348672. Its totient is φ = 562256640.

The previous prime is 2410442033. The next prime is 2410442057. The reversal of 2410442034 is 4302440142.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2410441995 and 2410442013.

It is not an unprimeable number, because it can be changed into a prime (2410442033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216799 + ... + 227645.

It is an arithmetic number, because the mean of its divisors is an integer number (51940224).

Almost surely, 2^2410442034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410442034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324174336).

2410442034 is an abundant number, since it is smaller than the sum of its proper divisors (4237906638).

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

2410442034 is a wasteful number, since it uses less digits than its factorization.

2410442034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2410442034 is about 49096.2527490643. The cubic root of 2410442034 is about 1340.8048246738.

Adding to 2410442034 its reverse (4302440142), we get a palindrome (6712882176).

It can be divided in two parts, 2410 and 442034, that added together give a palindrome (444444).

The spelling of 2410442034 in words is "two billion, four hundred ten million, four hundred forty-two thousand, thirty-four".