2282406000 has 320 divisors, whose sum is σ = 8685920256. Its totient is φ = 504576000.

The previous prime is 2282405971. The next prime is 2282406029. The reversal of 2282406000 is 6042822.

It is an interprime number because it is at equal distance from previous prime (2282405971) and next prime (2282406029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301124 + ... + 1302876.

Almost surely, 2^2282406000 is an apocalyptic number.

2282406000 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 2282406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342960128).

2282406000 is an abundant number, since it is smaller than the sum of its proper divisors (6403514256).

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

2282406000 is a wasteful number, since it uses less digits than its factorization.

2282406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2282406000 is about 47774.5329647502. The cubic root of 2282406000 is about 1316.6316784664.

Adding to 2282406000 its reverse (6042822), we get a palindrome (2288448822).

The spelling of 2282406000 in words is "two billion, two hundred eighty-two million, four hundred six thousand".