2780282000 has 80 divisors (see below), whose sum is σ = 7118263152. Its totient is φ = 1046681600.

The previous prime is 2780281993. The next prime is 2780282041. The reversal of 2780282000 is 2820872.

It can be written as a sum of positive squares in 8 ways, for example, as 245360896 + 2534921104 = 15664^2 + 50348^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 6887 + ... + 74886.

Almost surely, 2^2780282000 is an apocalyptic number.

2780282000 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 2780282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559131576).

2780282000 is an abundant number, since it is smaller than the sum of its proper divisors (4337981152).

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

2780282000 is a wasteful number, since it uses less digits than its factorization.

2780282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81813 (or 81797 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 2780282000 is about 52728.3794554697. The cubic root of 2780282000 is about 1406.1434105219.

The spelling of 2780282000 in words is "two billion, seven hundred eighty million, two hundred eighty-two thousand".