2182782000 has 160 divisors (see below), whose sum is σ = 8042770944. Its totient is φ = 498912000.

The previous prime is 2182781999. The next prime is 2182782029. The reversal of 2182782000 is 2872812.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16015 + ... + 67985.

Almost surely, 2^2182782000 is an apocalyptic number.

2182782000 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 2182782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021385472).

2182782000 is an abundant number, since it is smaller than the sum of its proper divisors (5859988944).

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

2182782000 is a wasteful number, since it uses less digits than its factorization.

2182782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52004 (or 51988 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2182782000 is about 46720.2525678105. The cubic root of 2182782000 is about 1297.1895894296.

The spelling of 2182782000 in words is "two billion, one hundred eighty-two million, seven hundred eighty-two thousand".