2250832320 has 336 divisors, whose sum is σ = 8731971360. Its totient is φ = 545402880.

The previous prime is 2250832313. The next prime is 2250832343. The reversal of 2250832320 is 232380522.

It is a super-2 number, since 2×2250832320² = 10132492265513164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 1044364 + ... + 1046516.

It is an arithmetic number, because the mean of its divisors is an integer number (25988010).

Almost surely, 2^2250832320 is an apocalyptic number.

2250832320 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 2250832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365985680).

2250832320 is an abundant number, since it is smaller than the sum of its proper divisors (6481139040).

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

2250832320 is a wasteful number, since it uses less digits than its factorization.

2250832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2250832320 is about 47442.9375144499. The cubic root of 2250832320 is about 1310.5322546277.

The spelling of 2250832320 in words is "two billion, two hundred fifty million, eight hundred thirty-two thousand, three hundred twenty".