2287148256 has 288 divisors, whose sum is σ = 7191475200. Its totient is φ = 686776320.

The previous prime is 2287148243. The next prime is 2287148293. The reversal of 2287148256 is 6528417822.

It is a tau number, because it is divible by the number of its divisors (288).

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, 16454235 + ... + 16454373.

It is an arithmetic number, because the mean of its divisors is an integer number (24970400).

Almost surely, 2^2287148256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2287148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595737600).

2287148256 is an abundant number, since it is smaller than the sum of its proper divisors (4904326944).

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

2287148256 is a wasteful number, since it uses less digits than its factorization.

2287148256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 2287148256 is about 47824.1388422207. The cubic root of 2287148256 is about 1317.5429222910.

The spelling of 2287148256 in words is "two billion, two hundred eighty-seven million, one hundred forty-eight thousand, two hundred fifty-six".