2427864064131 has 32 divisors (see below), whose sum is σ = 3598274389248. Its totient is φ = 1443587699840.

The previous prime is 2427864064081. The next prime is 2427864064163. The reversal of 2427864064131 is 1314604687242.

It is not a de Polignac number, because 2427864064131 - 2²⁶ = 2427796955267 is a prime.

It is a super-3 number, since 3×2427864064131³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2427864064531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46072060 + ... + 46124726.

It is an arithmetic number, because the mean of its divisors is an integer number (112446074664).

Almost surely, 2^{2427864064131} is an apocalyptic number.

2427864064131 is a deficient number, since it is larger than the sum of its proper divisors (1170410325117).

2427864064131 is a wasteful number, since it uses less digits than its factorization.

2427864064131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79091.

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 2427864064131 in words is "two trillion, four hundred twenty-seven billion, eight hundred sixty-four million, sixty-four thousand, one hundred thirty-one".