2231083008 has 448 divisors, whose sum is σ = 8304215040. Its totient is φ = 575078400.

The previous prime is 2231082977. The next prime is 2231083021. The reversal of 2231083008 is 8003801322.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×2231083008³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17031103 + ... + 17031233.

Almost surely, 2^2231083008 is an apocalyptic number.

2231083008 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 2231083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152107520).

2231083008 is an abundant number, since it is smaller than the sum of its proper divisors (6073132032).

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

2231083008 is a wasteful number, since it uses less digits than its factorization.

2231083008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2231083008 is about 47234.3414053800. The cubic root of 2231083008 is about 1306.6880203831.

The spelling of 2231083008 in words is "two billion, two hundred thirty-one million, eighty-three thousand, eight".