2230956000 has 768 divisors, whose sum is σ = 10038712320. Its totient is φ = 468633600.

The previous prime is 2230955957. The next prime is 2230956011. The reversal of 2230956000 is 6590322.

2230956000 is a `hidden beast` number, since 22 + 30 + 9 + 5 + 600 + 0 = 666.

It is a super-3 number, since 3×2230956000³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9827887 + ... + 9828113.

It is an arithmetic number, because the mean of its divisors is an integer number (13071240).

Almost surely, 2^2230956000 is an apocalyptic number.

2230956000 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 2230956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2230956000 is an abundant number, since it is smaller than the sum of its proper divisors (7807756320).

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

2230956000 is a wasteful number, since it uses less digits than its factorization.

2230956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2230956000 is about 47232.9969406981. The cubic root of 2230956000 is about 1306.6632248047.

The spelling of 2230956000 in words is "two billion, two hundred thirty million, nine hundred fifty-six thousand".