2814042000 has 320 divisors, whose sum is σ = 11312990208. Its totient is φ = 584640000.

The previous prime is 2814041981. The next prime is 2814042083. The reversal of 2814042000 is 2404182.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 458955 + ... + 465045.

Almost surely, 2^2814042000 is an apocalyptic number.

2814042000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2814042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656495104).

2814042000 is an abundant number, since it is smaller than the sum of its proper divisors (8498948208).

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

2814042000 is a wasteful number, since it uses less digits than its factorization.

2814042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2814042000 is about 53047.5447122673. The cubic root of 2814042000 is about 1411.8119655340.

Adding to 2814042000 its reverse (2404182), we get a palindrome (2816446182).

The spelling of 2814042000 in words is "two billion, eight hundred fourteen million, forty-two thousand".