2306221632 has 672 divisors, whose sum is σ = 8667195264. Its totient is φ = 597196800.

The previous prime is 2306221613. The next prime is 2306221663. The reversal of 2306221632 is 2361226032.

2306221632 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 2 + 21 + 632 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2306221596 and 2306221605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37806882 + ... + 37806942.

It is an arithmetic number, because the mean of its divisors is an integer number (12897612).

Almost surely, 2^2306221632 is an apocalyptic number.

2306221632 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 2306221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333597632).

2306221632 is an abundant number, since it is smaller than the sum of its proper divisors (6360973632).

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

2306221632 is a wasteful number, since it uses less digits than its factorization.

2306221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2306221632 is about 48023.1364240196. The cubic root of 2306221632 is about 1321.1952809638.

Adding to 2306221632 its reverse (2361226032), we get a palindrome (4667447664).

The spelling of 2306221632 in words is "two billion, three hundred six million, two hundred twenty-one thousand, six hundred thirty-two".