2250393600 has 864 divisors, whose sum is σ = 9725002560. Its totient is φ = 454164480.

The previous prime is 2250393583. The next prime is 2250393631. The reversal of 2250393600 is 63930522.

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 (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97843189 + ... + 97843211.

It is an arithmetic number, because the mean of its divisors is an integer number (11255790).

Almost surely, 2^2250393600 is an apocalyptic number.

2250393600 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 2250393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4862501280).

2250393600 is an abundant number, since it is smaller than the sum of its proper divisors (7474608960).

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

2250393600 is a wasteful number, since it uses less digits than its factorization.

2250393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 2250393600 is about 47438.3136293861. The cubic root of 2250393600 is about 1310.4471018207.

The spelling of 2250393600 in words is "two billion, two hundred fifty million, three hundred ninety-three thousand, six hundred".