2814242840 has 32 divisors (see below), whose sum is σ = 6333768000. Its totient is φ = 1125391104.

The previous prime is 2814242831. The next prime is 2814242857. The reversal of 2814242840 is 482424182.

It is a self number, because there is not a number n which added to its sum of digits gives 2814242840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191681 + ... + 205839.

It is an arithmetic number, because the mean of its divisors is an integer number (197930250).

Almost surely, 2^2814242840 is an apocalyptic number.

2814242840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814242840 is an abundant number, since it is smaller than the sum of its proper divisors (3519525160).

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

2814242840 is a wasteful number, since it uses less digits than its factorization.

2814242840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19139 (or 19135 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 35.

The square root of 2814242840 is about 53049.4376973027. The cubic root of 2814242840 is about 1411.8455520464.

The spelling of 2814242840 in words is "two billion, eight hundred fourteen million, two hundred forty-two thousand, eight hundred forty".