2250209400 has 192 divisors, whose sum is σ = 7242393600. Its totient is φ = 577344000.

The previous prime is 2250209371. The next prime is 2250209413. The reversal of 2250209400 is 49020522.

2250209400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5784406 + ... + 5784794.

It is an arithmetic number, because the mean of its divisors is an integer number (37720800).

Almost surely, 2^2250209400 is an apocalyptic number.

2250209400 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 2250209400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621196800).

2250209400 is an abundant number, since it is smaller than the sum of its proper divisors (4992184200).

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

2250209400 is a wasteful number, since it uses less digits than its factorization.

2250209400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2250209400 is about 47436.3721209791. The cubic root of 2250209400 is about 1310.4113464544.

Adding to 2250209400 its reverse (49020522), we get a palindrome (2299229922).

The spelling of 2250209400 in words is "two billion, two hundred fifty million, two hundred nine thousand, four hundred".