2042267664303 has 96 divisors (see below), whose sum is σ = 3106130227200. Its totient is φ = 1291355799552.

The previous prime is 2042267664301. The next prime is 2042267664313. The reversal of 2042267664303 is 3034667622402.

It is a happy number.

2042267664303 is a `hidden beast` number, since 20 + 4 + 2 + 267 + 6 + 64 + 303 = 666.

It is not a de Polignac number, because 2042267664303 - 2¹ = 2042267664301 is a prime.

It is a super-3 number, since 3×2042267664303³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042267664301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2655744303 + ... + 2655745071.

It is an arithmetic number, because the mean of its divisors is an integer number (32355523200).

Almost surely, 2^{2042267664303} is an apocalyptic number.

2042267664303 is a deficient number, since it is larger than the sum of its proper divisors (1063862562897).

2042267664303 is a wasteful number, since it uses less digits than its factorization.

2042267664303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 2042267664303 in words is "two trillion, forty-two billion, two hundred sixty-seven million, six hundred sixty-four thousand, three hundred three".