2002784193 has 12 divisors (see below), whose sum is σ = 2947494420. Its totient is φ = 1309996896.

The previous prime is 2002784191. The next prime is 2002784207. The reversal of 2002784193 is 3914872002.

It can be written as a sum of positive squares in 2 ways, for example, as 1469035584 + 533748609 = 38328^2 + 23103^2 .

It is not a de Polignac number, because 2002784193 - 2¹ = 2002784191 is a prime.

It is a super-2 number, since 2×2002784193² = 8022289047461322498, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2002784191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2098878 + ... + 2099831.

It is an arithmetic number, because the mean of its divisors is an integer number (245624535).

Almost surely, 2^2002784193 is an apocalyptic number.

It is an amenable number.

2002784193 is a deficient number, since it is larger than the sum of its proper divisors (944710227).

2002784193 is a wasteful number, since it uses less digits than its factorization.

2002784193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198768 (or 4198765 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2002784193 is about 44752.4769482092. The cubic root of 2002784193 is about 1260.5054227055.

The spelling of 2002784193 in words is "two billion, two million, seven hundred eighty-four thousand, one hundred ninety-three".