2814082000 has 40 divisors (see below), whose sum is σ = 6804455112. Its totient is φ = 1125632000.

The previous prime is 2814081997. The next prime is 2814082013. The reversal of 2814082000 is 2804182.

It can be written as a sum of positive squares in 4 ways, for example, as 16941456 + 2797140544 = 4116^2 + 52888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701521 + ... + 705520.

Almost surely, 2^2814082000 is an apocalyptic number.

2814082000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814082000 is an abundant number, since it is smaller than the sum of its proper divisors (3990373112).

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

2814082000 is a wasteful number, since it uses less digits than its factorization.

2814082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407064 (or 1407048 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2814082000 is about 53047.9217312045. The cubic root of 2814082000 is about 1411.8186548692.

Adding to 2814082000 its reverse (2804182), we get a palindrome (2816886182).

The spelling of 2814082000 in words is "two billion, eight hundred fourteen million, eighty-two thousand".