2834134284042 has 128 divisors (see below), whose sum is σ = 6854513664000. Its totient is φ = 864713905920.

The previous prime is 2834134284029. The next prime is 2834134284167. The reversal of 2834134284042 is 2404824314382.

2834134284042 is a `hidden beast` number, since 2 + 83 + 413 + 42 + 84 + 0 + 42 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19615938 + ... + 19759890.

It is an arithmetic number, because the mean of its divisors is an integer number (53550888000).

Almost surely, 2^{2834134284042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2834134284042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427256832000).

2834134284042 is an abundant number, since it is smaller than the sum of its proper divisors (4020379379958).

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

2834134284042 is a wasteful number, since it uses less digits than its factorization.

2834134284042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144633 (or 144627 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 2834134284042 in words is "two trillion, eight hundred thirty-four billion, one hundred thirty-four million, two hundred eighty-four thousand, forty-two".