2802982000 has 160 divisors (see below), whose sum is σ = 8342216064. Its totient is φ = 887040000.

The previous prime is 2802981989. The next prime is 2802982001. The reversal of 2802982000 is 2892082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2802982001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174300 + ... + 189700.

Almost surely, 2^2802982000 is an apocalyptic number.

2802982000 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 2802982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171108032).

2802982000 is an abundant number, since it is smaller than the sum of its proper divisors (5539234064).

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

2802982000 is a wasteful number, since it uses less digits than its factorization.

2802982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2802982000 is about 52943.1959745537. The cubic root of 2802982000 is about 1409.9599271008.

The spelling of 2802982000 in words is "two billion, eight hundred two million, nine hundred eighty-two thousand".