2250744600 has 192 divisors, whose sum is σ = 7591076640. Its totient is φ = 548352000.

The previous prime is 2250744599. The next prime is 2250744611. The reversal of 2250744600 is 64470522.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 786372 + ... + 789228.

Almost surely, 2^2250744600 is an apocalyptic number.

2250744600 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 2250744600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795538320).

2250744600 is an abundant number, since it is smaller than the sum of its proper divisors (5340332040).

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

2250744600 is a wasteful number, since it uses less digits than its factorization.

2250744600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2250744600 is about 47442.0130264305. The cubic root of 2250744600 is about 1310.5152296096.

The spelling of 2250744600 in words is "two billion, two hundred fifty million, seven hundred forty-four thousand, six hundred".