3000415002 has 64 divisors (see below), whose sum is σ = 6529272960. Its totient is φ = 913711104.

The previous prime is 3000414931. The next prime is 3000415003. The reversal of 3000415002 is 2005140003.

It is a super-3 number, since 3×3000415002³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3000415003) 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 31 ways as a sum of consecutive naturals, for example, 5199738 + ... + 5200314.

It is an arithmetic number, because the mean of its divisors is an integer number (102019890).

Almost surely, 2^3000415002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000415002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264636480).

3000415002 is an abundant number, since it is smaller than the sum of its proper divisors (3528857958).

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

3000415002 is a wasteful number, since it uses less digits than its factorization.

3000415002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3000415002 is about 54776.0440521219. The cubic root of 3000415002 is about 1442.3160712917.

Adding to 3000415002 its reverse (2005140003), we get a palindrome (5005555005).

The spelling of 3000415002 in words is "three billion, four hundred fifteen thousand, two".