2230585632 has 270 divisors, whose sum is σ = 7294067235. Its totient is φ = 646546560.

The previous prime is 2230585583. The next prime is 2230585633. The reversal of 2230585632 is 2365850322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1115292816 + 1115292816 = 33396^2 + 33396^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33396.

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

It is not an unprimeable number, because it can be changed into a prime (2230585633) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 96981973 + ... + 96981995.

Almost surely, 2^2230585632 is an apocalyptic number.

2230585632 is a gapful number since it is divisible by the number (22) 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 2230585632

2230585632 is an abundant number, since it is smaller than the sum of its proper divisors (5063481603).

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

2230585632 is an equidigital number, since it uses as much as digits as its factorization.

2230585632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2230585632 is about 47229.0761290119. The cubic root of 2230585632 is about 1306.5909130501.

The spelling of 2230585632 in words is "two billion, two hundred thirty million, five hundred eighty-five thousand, six hundred thirty-two".