2430124312040 has 128 divisors (see below), whose sum is σ = 5757225984000. Its totient is φ = 921990263040.

The previous prime is 2430124312037. The next prime is 2430124312067. The reversal of 2430124312040 is 402134210342.

2430124312040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16459427 + ... + 16606413.

It is an arithmetic number, because the mean of its divisors is an integer number (44978328000).

Almost surely, 2^{2430124312040} is an apocalyptic number.

2430124312040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430124312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878612992000).

2430124312040 is an abundant number, since it is smaller than the sum of its proper divisors (3327101671960).

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

2430124312040 is a wasteful number, since it uses less digits than its factorization.

2430124312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147295 (or 147291 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2430124312040 its reverse (402134210342), we get a palindrome (2832258522382).

The spelling of 2430124312040 in words is "two trillion, four hundred thirty billion, one hundred twenty-four million, three hundred twelve thousand, forty".