2250528000 has 576 divisors, whose sum is σ = 9091450368. Its totient is φ = 481689600.

The previous prime is 2250527999. The next prime is 2250528013. The reversal of 2250528000 is 8250522.

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 63 ways as a sum of consecutive naturals, for example, 11423902 + ... + 11424098.

It is an arithmetic number, because the mean of its divisors is an integer number (15783768).

Almost surely, 2^2250528000 is an apocalyptic number.

2250528000 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 2250528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4545725184).

2250528000 is an abundant number, since it is smaller than the sum of its proper divisors (6840922368).

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

2250528000 is a wasteful number, since it uses less digits than its factorization.

2250528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2250528000 is about 47439.7301847302. The cubic root of 2250528000 is about 1310.4731891956.

Adding to 2250528000 its reverse (8250522), we get a palindrome (2258778522).

It can be divided in two parts, 22505 and 28000, that added together give a palindrome (50505).

The spelling of 2250528000 in words is "two billion, two hundred fifty million, five hundred twenty-eight thousand".