2250716832 has 288 divisors, whose sum is σ = 7942177152. Its totient is φ = 588736512.

The previous prime is 2250716803. The next prime is 2250716843. The reversal of 2250716832 is 2386170522.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4114383 + ... + 4114929.

It is an arithmetic number, because the mean of its divisors is an integer number (27577004).

Almost surely, 2^2250716832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250716832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971088576).

2250716832 is an abundant number, since it is smaller than the sum of its proper divisors (5691460320).

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

2250716832 is a wasteful number, since it uses less digits than its factorization.

2250716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2250716832 is about 47441.7203735278. The cubic root of 2250716832 is about 1310.5098402026.

The spelling of 2250716832 in words is "two billion, two hundred fifty million, seven hundred sixteen thousand, eight hundred thirty-two".