2250904320 has 432 divisors, whose sum is σ = 9020024832. Its totient is φ = 507617280.

The previous prime is 2250904319. The next prime is 2250904321. The reversal of 2250904320 is 234090522.

2250904320 is a `hidden beast` number, since 2 + 250 + 90 + 4 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (2250904319) and next prime (2250904321).

It is not an unprimeable number, because it can be changed into a prime (2250904321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8305785 + ... + 8306055.

Almost surely, 2^2250904320 is an apocalyptic number.

2250904320 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 2250904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510012416).

2250904320 is an abundant number, since it is smaller than the sum of its proper divisors (6769120512).

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

2250904320 is a wasteful number, since it uses less digits than its factorization.

2250904320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2250904320 is about 47443.6963146844. The cubic root of 2250904320 is about 1310.5462283202.

Adding to 2250904320 its reverse (234090522), we get a palindrome (2484994842).

The spelling of 2250904320 in words is "two billion, two hundred fifty million, nine hundred four thousand, three hundred twenty".