2250824000 has 56 divisors (see below), whose sum is σ = 5574185448. Its totient is φ = 900326400.

The previous prime is 2250823903. The next prime is 2250824039. The reversal of 2250824000 is 4280522.

It can be written as a sum of positive squares in 4 ways, for example, as 163430656 + 2087393344 = 12784^2 + 45688^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 132677 + ... + 148676.

Almost surely, 2^2250824000 is an apocalyptic number.

2250824000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250824000 is an abundant number, since it is smaller than the sum of its proper divisors (3323361448).

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

2250824000 is an equidigital number, since it uses as much as digits as its factorization.

2250824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281380 (or 281360 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2250824000 is about 47442.8498300850. The cubic root of 2250824000 is about 1310.5306398707.

The spelling of 2250824000 in words is "two billion, two hundred fifty million, eight hundred twenty-four thousand".