2250689280 has 576 divisors, whose sum is σ = 8828510208. Its totient is φ = 477757440.

The previous prime is 2250689267. The next prime is 2250689303. The reversal of 2250689280 is 829860522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30831324 + ... + 30831396.

Almost surely, 2^2250689280 is an apocalyptic number.

2250689280 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 2250689280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4414255104).

2250689280 is an abundant number, since it is smaller than the sum of its proper divisors (6577820928).

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

2250689280 is a wasteful number, since it uses less digits than its factorization.

2250689280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2250689280 is about 47441.4299953111. The cubic root of 2250689280 is about 1310.5044926745.

The spelling of 2250689280 in words is "two billion, two hundred fifty million, six hundred eighty-nine thousand, two hundred eighty".