2085354642042 has 96 divisors (see below), whose sum is σ = 5331041624064. Its totient is φ = 576516333600.

The previous prime is 2085354642031. The next prime is 2085354642071. The reversal of 2085354642042 is 2402464535802.

It is a happy number.

2085354642042 is a `hidden beast` number, since 2 + 0 + 85 + 3 + 546 + 4 + 20 + 4 + 2 = 666.

It is a super-2 number, since 2×2085354642042² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31867617 + ... + 31932987.

It is an arithmetic number, because the mean of its divisors is an integer number (55531683584).

Almost surely, 2^{2085354642042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085354642042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665520812032).

2085354642042 is an abundant number, since it is smaller than the sum of its proper divisors (3245686982022).

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

2085354642042 is a wasteful number, since it uses less digits than its factorization.

2085354642042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73584 (or 73581 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 2085354642042 in words is "two trillion, eighty-five billion, three hundred fifty-four million, six hundred forty-two thousand, forty-two".