2284917960 has 256 divisors, whose sum is σ = 7844659200. Its totient is φ = 527772672.

The previous prime is 2284917959. The next prime is 2284917967. The reversal of 2284917960 is 697194822.

It is not an unprimeable number, because it can be changed into a prime (2284917967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3763977 + ... + 3764583.

It is an arithmetic number, because the mean of its divisors is an integer number (30643200).

Almost surely, 2^2284917960 is an apocalyptic number.

2284917960 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 2284917960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922329600).

2284917960 is an abundant number, since it is smaller than the sum of its proper divisors (5559741240).

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

2284917960 is a wasteful number, since it uses less digits than its factorization.

2284917960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 2284917960 is about 47800.8154742155. The cubic root of 2284917960 is about 1317.1145188742.

The spelling of 2284917960 in words is "two billion, two hundred eighty-four million, nine hundred seventeen thousand, nine hundred sixty".