2250322400 has 144 divisors (see below), whose sum is σ = 5677511616. Its totient is φ = 870481920.

The previous prime is 2250322381. The next prime is 2250322421. The reversal of 2250322400 is 42230522.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 3646892 + ... + 3647508.

It is an arithmetic number, because the mean of its divisors is an integer number (39427164).

Almost surely, 2^2250322400 is an apocalyptic number.

2250322400 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 2250322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838755808).

2250322400 is an abundant number, since it is smaller than the sum of its proper divisors (3427189216).

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

2250322400 is a wasteful number, since it uses less digits than its factorization.

2250322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2250322400 is about 47437.5631751885. The cubic root of 2250322400 is about 1310.4332813024.

Adding to 2250322400 its reverse (42230522), we get a palindrome (2292552922).

The spelling of 2250322400 in words is "two billion, two hundred fifty million, three hundred twenty-two thousand, four hundred".