2823782013 has 64 divisors (see below), whose sum is σ = 4745664000. Its totient is φ = 1646396928.

The previous prime is 2823781999. The next prime is 2823782029. The reversal of 2823782013 is 3102873282.

It is a happy number.

2823782013 is a `hidden beast` number, since 2 + 82 + 378 + 201 + 3 = 666.

It is not a de Polignac number, because 2823782013 - 2¹⁰ = 2823780989 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2823782063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 878353 + ... + 881561.

It is an arithmetic number, because the mean of its divisors is an integer number (74151000).

Almost surely, 2^2823782013 is an apocalyptic number.

2823782013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2823782013 is a deficient number, since it is larger than the sum of its proper divisors (1921881987).

2823782013 is a wasteful number, since it uses less digits than its factorization.

2823782013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2823782013 is about 53139.2699705218. The cubic root of 2823782013 is about 1413.4389528814.

The spelling of 2823782013 in words is "two billion, eight hundred twenty-three million, seven hundred eighty-two thousand, thirteen".