2400002004200 has 48 divisors (see below), whose sum is σ = 5772418627500. Its totient is φ = 926897323520.

The previous prime is 2400002004077. The next prime is 2400002004233. The reversal of 2400002004200 is 24002000042.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1736549399524 + 663452604676 = 1317782^2 + 814526^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206890925 + ... + 206902524.

Almost surely, 2^{2400002004200} is an apocalyptic number.

2400002004200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400002004200 is an abundant number, since it is smaller than the sum of its proper divisors (3372416623300).

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

2400002004200 is a wasteful number, since it uses less digits than its factorization.

2400002004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413793494 (or 413793485 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2400002004200 its reverse (24002000042), we get a palindrome (2424004004242).

The spelling of 2400002004200 in words is "two trillion, four hundred billion, two million, four thousand, two hundred".