3002332142040 has 256 divisors, whose sum is σ = 11820529152000. Its totient is φ = 591026388480.

The previous prime is 3002332142027. The next prime is 3002332142053. The reversal of 3002332142040 is 402412332003.

3002332142040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3002332142027) and next prime (3002332142053).

It is a super-2 number, since 2×3002332142040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3002332142040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8375170 + ... + 8726289.

It is an arithmetic number, because the mean of its divisors is an integer number (46173942000).

Almost surely, 2^{3002332142040} is an apocalyptic number.

3002332142040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002332142040 is an abundant number, since it is smaller than the sum of its proper divisors (8818197009960).

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

3002332142040 is a wasteful number, since it uses less digits than its factorization.

3002332142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17101510 (or 17101506 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3002332142040 its reverse (402412332003), we get a palindrome (3404744474043).

The spelling of 3002332142040 in words is "three trillion, two billion, three hundred thirty-two million, one hundred forty-two thousand, forty".