2430345141040 has 40 divisors (see below), whose sum is σ = 5947949954160. Its totient is φ = 920972894976.

The previous prime is 2430345141023. The next prime is 2430345141043. The reversal of 2430345141040 is 401415430342.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2430345140993 and 2430345141011.

It is not an unprimeable number, because it can be changed into a prime (2430345141043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 799454119 + ... + 799457158.

It is an arithmetic number, because the mean of its divisors is an integer number (148698748854).

Almost surely, 2^{2430345141040} is an apocalyptic number.

2430345141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430345141040 is an abundant number, since it is smaller than the sum of its proper divisors (3517604813120).

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

2430345141040 is a wasteful number, since it uses less digits than its factorization.

2430345141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598911309 (or 1598911303 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 2430345141040 in words is "two trillion, four hundred thirty billion, three hundred forty-five million, one hundred forty-one thousand, forty".