2284662240 has 576 divisors, whose sum is σ = 9556081920. Its totient is φ = 508032000.

The previous prime is 2284662223. The next prime is 2284662257. The reversal of 2284662240 is 422664822.

2284662240 is a `hidden beast` number, since 2 + 28 + 4 + 6 + 622 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2284662223) and next prime (2284662257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2284662195 and 2284662204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 9102115 + ... + 9102365.

It is an arithmetic number, because the mean of its divisors is an integer number (16590420).

Almost surely, 2^2284662240 is an apocalyptic number.

2284662240 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 2284662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778040960).

2284662240 is an abundant number, since it is smaller than the sum of its proper divisors (7271419680).

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

2284662240 is a wasteful number, since it uses less digits than its factorization.

2284662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2284662240 is about 47798.1405496072. The cubic root of 2284662240 is about 1317.0653814294.

The spelling of 2284662240 in words is "two billion, two hundred eighty-four million, six hundred sixty-two thousand, two hundred forty".