2706410410401 has 32 divisors (see below), whose sum is σ = 3824057927680. Its totient is φ = 1697800176000.

The previous prime is 2706410410391. The next prime is 2706410410411. The reversal of 2706410410401 is 1040140146072.

It is an interprime number because it is at equal distance from previous prime (2706410410391) and next prime (2706410410411).

It is not a de Polignac number, because 2706410410401 - 2²⁶ = 2706343301537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2706410410411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145629756 + ... + 145648338.

It is an arithmetic number, because the mean of its divisors is an integer number (119501810240).

Almost surely, 2^{2706410410401} is an apocalyptic number.

It is an amenable number.

2706410410401 is a deficient number, since it is larger than the sum of its proper divisors (1117647517279).

2706410410401 is a wasteful number, since it uses less digits than its factorization.

2706410410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35677.

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 2706410410401 its reverse (1040140146072), we get a palindrome (3746550556473).

The spelling of 2706410410401 in words is "two trillion, seven hundred six billion, four hundred ten million, four hundred ten thousand, four hundred one".