2407468647042 has 32 divisors (see below), whose sum is σ = 5368969258560. Its totient is φ = 799633709280.

The previous prime is 2407468647007. The next prime is 2407468647043.

2407468647042 is a `hidden beast` number, since 2 + 4 + 0 + 74 + 68 + 6 + 470 + 42 = 666.

2407468647042 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2407468647042.

It is not an unprimeable number, because it can be changed into a prime (2407468647043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79313568 + ... + 79343915.

It is an arithmetic number, because the mean of its divisors is an integer number (167780289330).

Almost surely, 2^{2407468647042} is an apocalyptic number.

2407468647042 is an abundant number, since it is smaller than the sum of its proper divisors (2961500611518).

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

2407468647042 is a wasteful number, since it uses less digits than its factorization.

2407468647042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158657775 (or 158657769 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 2407468647042 in words is "two trillion, four hundred seven billion, four hundred sixty-eight million, six hundred forty-seven thousand, forty-two".