2253054042 has 80 divisors (see below), whose sum is σ = 5142353832. Its totient is φ = 737164800.

The previous prime is 2253053983. The next prime is 2253054043. The reversal of 2253054042 is 2404503522.

It is a happy number.

2253054042 is a `hidden beast` number, since 2 + 253 + 0 + 5 + 404 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1836036801 + 417017241 = 42849^2 + 20421^2 .

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 = 2253053997 and 2253054015.

It is not an unprimeable number, because it can be changed into a prime (2253054043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3748542 + ... + 3749142.

Almost surely, 2^2253054042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253054042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571176916).

2253054042 is an abundant number, since it is smaller than the sum of its proper divisors (2889299790).

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

2253054042 is a wasteful number, since it uses less digits than its factorization.

2253054042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 996 counting only the distinct ones).

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

The square root of 2253054042 is about 47466.3464151182. The cubic root of 2253054042 is about 1310.9633071539.

Adding to 2253054042 its reverse (2404503522), we get a palindrome (4657557564).

The spelling of 2253054042 in words is "two billion, two hundred fifty-three million, fifty-four thousand, forty-two".