2430000342 has 96 divisors (see below), whose sum is σ = 6647546880. Its totient is φ = 623151360.

The previous prime is 2430000337. The next prime is 2430000371.

2430000342 is a `hidden beast` number, since 24 + 300 + 0 + 0 + 342 = 666.

2430000342 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 98398 + ... + 120590.

It is an arithmetic number, because the mean of its divisors is an integer number (69245280).

Almost surely, 2^2430000342 is an apocalyptic number.

2430000342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2430000342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323773440).

2430000342 is an abundant number, since it is smaller than the sum of its proper divisors (4217546538).

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

2430000342 is a wasteful number, since it uses less digits than its factorization.

2430000342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22298 (or 22295 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2430000342 is about 49295.0336443744. The cubic root of 2430000342 is about 1344.4214870388.

It can be divided in two parts, 2430000 and 342, that added together give a palindrome (2430342).

The spelling of 2430000342 in words is "two billion, four hundred thirty million, three hundred forty-two", and thus it is an aban number.