2287025280 has 320 divisors, whose sum is σ = 8248652280. Its totient is φ = 603832320.

The previous prime is 2287025261. The next prime is 2287025281. The reversal of 2287025280 is 825207822.

It can be written as a sum of positive squares in 4 ways, for example, as 1798438464 + 488586816 = 42408^2 + 22104^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2287025281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8138740 + ... + 8139020.

Almost surely, 2^2287025280 is an apocalyptic number.

2287025280 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 2287025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124326140).

2287025280 is an abundant number, since it is smaller than the sum of its proper divisors (5961627000).

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

2287025280 is a wasteful number, since it uses less digits than its factorization.

2287025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2287025280 is about 47822.8531143845. The cubic root of 2287025280 is about 1317.5193078676.

The spelling of 2287025280 in words is "two billion, two hundred eighty-seven million, twenty-five thousand, two hundred eighty".