2250382000 has 80 divisors (see below), whose sum is σ = 5451874272. Its totient is φ = 898425600.

The previous prime is 2250381989. The next prime is 2250382027. The reversal of 2250382000 is 2830522.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1753359 + ... + 1754641.

Almost surely, 2^2250382000 is an apocalyptic number.

2250382000 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 2250382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725937136).

2250382000 is an abundant number, since it is smaller than the sum of its proper divisors (3201492272).

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

2250382000 is a wasteful number, since it uses less digits than its factorization.

2250382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2250382000 is about 47438.1913651859. The cubic root of 2250382000 is about 1310.4448501831. Note that the first 3 decimals are identical.

The spelling of 2250382000 in words is "two billion, two hundred fifty million, three hundred eighty-two thousand".