2742414135675 has 24 divisors (see below), whose sum is σ = 4543435082496. Its totient is φ = 1459617524640.

The previous prime is 2742414135649. The next prime is 2742414135701. The reversal of 2742414135675 is 5765314142472.

It is an interprime number because it is at equal distance from previous prime (2742414135649) and next prime (2742414135701).

It is not a de Polignac number, because 2742414135675 - 2¹⁶ = 2742414070139 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37505079 + ... + 37578128.

It is an arithmetic number, because the mean of its divisors is an integer number (189309795104).

Almost surely, 2^{2742414135675} is an apocalyptic number.

2742414135675 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2742414135675 is a deficient number, since it is larger than the sum of its proper divisors (1801020946821).

2742414135675 is a wasteful number, since it uses less digits than its factorization.

2742414135675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75083707 (or 75083702 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 51.

The spelling of 2742414135675 in words is "two trillion, seven hundred forty-two billion, four hundred fourteen million, one hundred thirty-five thousand, six hundred seventy-five".