2042304306642 has 64 divisors (see below), whose sum is σ = 4651361003520. Its totient is φ = 663847862400.

The previous prime is 2042304306461. The next prime is 2042304306643. The reversal of 2042304306642 is 2466034032402.

2042304306642 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 3 + 0 + 4 + 3 + 0 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2042304306597 and 2042304306606.

It is not an unprimeable number, because it can be changed into a prime (2042304306643) 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, 4455268 + ... + 4892240.

It is an arithmetic number, because the mean of its divisors is an integer number (72677515680).

Almost surely, 2^{2042304306642} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042304306642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325680501760).

2042304306642 is an abundant number, since it is smaller than the sum of its proper divisors (2609056696878).

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

2042304306642 is a wasteful number, since it uses less digits than its factorization.

2042304306642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439136 (or 439130 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 2042304306642 in words is "two trillion, forty-two billion, three hundred four million, three hundred six thousand, six hundred forty-two".