2400029200042 has 64 divisors (see below), whose sum is σ = 4053760784640. Its totient is φ = 1060110374400.

The previous prime is 2400029200039. The next prime is 2400029200069.

It is a happy number.

2400029200042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2400029200042² (a number of 26 digits) contains 22 as substring.

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, 49175692 + ... + 49224472.

It is an arithmetic number, because the mean of its divisors is an integer number (63340012260).

Almost surely, 2^{2400029200042} is an apocalyptic number.

2400029200042 is a deficient number, since it is larger than the sum of its proper divisors (1653731584598).

2400029200042 is a wasteful number, since it uses less digits than its factorization.

2400029200042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50239.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 2400029200042 in words is "two trillion, four hundred billion, twenty-nine million, two hundred thousand, forty-two".