3000102400240 has 160 divisors (see below), whose sum is σ = 7673013038592. Its totient is φ = 1081831296000.

The previous prime is 3000102400231. The next prime is 3000102400259. The reversal of 3000102400240 is 420042010003.

It is a super-2 number, since 2×3000102400240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 172104325 + ... + 172121755.

Almost surely, 2^{3000102400240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3000102400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836506519296).

3000102400240 is an abundant number, since it is smaller than the sum of its proper divisors (4672910638352).

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

3000102400240 is a wasteful number, since it uses less digits than its factorization.

3000102400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19079 (or 19073 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 3000102400240 its reverse (420042010003), we get a palindrome (3420144410243).

The spelling of 3000102400240 in words is "three trillion, one hundred two million, four hundred thousand, two hundred forty".