2280960000 has 650 divisors, whose sum is σ = 9288692292. Its totient is φ = 552960000.

The previous prime is 2280959999. The next prime is 2280960037. The reversal of 2280960000 is 690822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359995 + ... + 207360005.

Almost surely, 2^2280960000 is an apocalyptic number.

2280960000 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 2280960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644346146).

2280960000 is an abundant number, since it is smaller than the sum of its proper divisors (7007732292).

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

2280960000 is an frugal number, since it uses more digits than its factorization.

2280960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2280960000 is about 47759.3969811178. The cubic root of 2280960000 is about 1316.3535725838.

The spelling of 2280960000 in words is "two billion, two hundred eighty million, nine hundred sixty thousand".