2472106012742 has 16 divisors (see below), whose sum is σ = 3741153352992. Its totient is φ = 1225102609920.

The previous prime is 2472106012729. The next prime is 2472106012757.

2472106012742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2472106012742² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2472106012696 and 2472106012705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11824859 + ... + 12032102.

It is an arithmetic number, because the mean of its divisors is an integer number (233822084562).

Almost surely, 2^{2472106012742} is an apocalyptic number.

2472106012742 is a deficient number, since it is larger than the sum of its proper divisors (1269047340250).

2472106012742 is a wasteful number, since it uses less digits than its factorization.

2472106012742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23857423.

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 2472106012742 in words is "two trillion, four hundred seventy-two billion, one hundred six million, twelve thousand, seven hundred forty-two".