2400330042 has 24 divisors (see below), whose sum is σ = 5673507840. Its totient is φ = 727372680.

The previous prime is 2400330001. The next prime is 2400330131.

2400330042 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 junction number, because it is equal to n+sod(n) for n = 2400329997 and 2400330024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6061242 + ... + 6061637.

It is an arithmetic number, because the mean of its divisors is an integer number (236396160).

Almost surely, 2^2400330042 is an apocalyptic number.

2400330042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2400330042 is an abundant number, since it is smaller than the sum of its proper divisors (3273177798).

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

2400330042 is a wasteful number, since it uses less digits than its factorization.

2400330042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12122898 (or 12122895 counting only the distinct ones).

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

The square root of 2400330042 is about 48993.1632169224. The cubic root of 2400330042 is about 1338.9272698484.

It can be divided in two parts, 24003 and 30042, that added together give a palindrome (54045).

The spelling of 2400330042 in words is "two billion, four hundred million, three hundred thirty thousand, forty-two".