2255434020 has 144 divisors (see below), whose sum is σ = 7841433600. Its totient is φ = 514038528.

The previous prime is 2255434019. The next prime is 2255434033. The reversal of 2255434020 is 204345522.

It is a happy number.

2255434020 is a `hidden beast` number, since 2 + 255 + 4 + 3 + 402 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467581 + ... + 472379.

It is an arithmetic number, because the mean of its divisors is an integer number (54454400).

Almost surely, 2^2255434020 is an apocalyptic number.

2255434020 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 2255434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920716800).

2255434020 is an abundant number, since it is smaller than the sum of its proper divisors (5585999580).

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

2255434020 is a wasteful number, since it uses less digits than its factorization.

2255434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2255434020 is about 47491.4099601181. The cubic root of 2255434020 is about 1311.4247498307.

Adding to 2255434020 its reverse (204345522), we get a palindrome (2459779542).

The spelling of 2255434020 in words is "two billion, two hundred fifty-five million, four hundred thirty-four thousand, twenty".