2255433642 has 288 divisors, whose sum is σ = 6536260224. Its totient is φ = 555206400.

The previous prime is 2255433629. The next prime is 2255433667. The reversal of 2255433642 is 2463345522.

2255433642 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 4 + 3 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2255433597 and 2255433606.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21897363 + ... + 21897465.

It is an arithmetic number, because the mean of its divisors is an integer number (22695348).

Almost surely, 2^2255433642 is an apocalyptic number.

2255433642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255433642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268130112).

2255433642 is an abundant number, since it is smaller than the sum of its proper divisors (4280826582).

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

2255433642 is a wasteful number, since it uses less digits than its factorization.

2255433642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

The square root of 2255433642 is about 47491.4059804508. The cubic root of 2255433642 is about 1311.4246765679.

The spelling of 2255433642 in words is "two billion, two hundred fifty-five million, four hundred thirty-three thousand, six hundred forty-two".