2284207968 has 384 divisors, whose sum is σ = 7741440000. Its totient is φ = 574801920.

The previous prime is 2284207967. The next prime is 2284207979. The reversal of 2284207968 is 8697024822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2284207967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11478333 + ... + 11478531.

It is an arithmetic number, because the mean of its divisors is an integer number (20160000).

Almost surely, 2^2284207968 is an apocalyptic number.

2284207968 is a gapful number since it is divisible by the number (28) 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 2284207968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3870720000).

2284207968 is an abundant number, since it is smaller than the sum of its proper divisors (5457232032).

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

2284207968 is a wasteful number, since it uses less digits than its factorization.

2284207968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2284207968 is about 47793.3883293495. The cubic root of 2284207968 is about 1316.9780825173.

The spelling of 2284207968 in words is "two billion, two hundred eighty-four million, two hundred seven thousand, nine hundred sixty-eight".