2282472960 has 160 divisors (see below), whose sum is σ = 7532946432. Its totient is φ = 588963840.

The previous prime is 2282472947. The next prime is 2282472979. The reversal of 2282472960 is 692742822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233287 + ... + 242873.

Almost surely, 2^2282472960 is an apocalyptic number.

2282472960 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 2282472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766473216).

2282472960 is an abundant number, since it is smaller than the sum of its proper divisors (5250473472).

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

2282472960 is an equidigital number, since it uses as much as digits as its factorization.

2282472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9644 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2282472960 is about 47775.2337513905. The cubic root of 2282472960 is about 1316.6445538845.

The spelling of 2282472960 in words is "two billion, two hundred eighty-two million, four hundred seventy-two thousand, nine hundred sixty".