2053305450 has 480 divisors, whose sum is σ = 7052120064. Its totient is φ = 432812160.

The previous prime is 2053305439. The next prime is 2053305451. The reversal of 2053305450 is 545033502.

2053305450 is a `hidden beast` number, since 205 + 3 + 3 + 0 + 5 + 450 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2053305451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30646317 + ... + 30646383.

Almost surely, 2^2053305450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053305450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3526060032).

2053305450 is an abundant number, since it is smaller than the sum of its proper divisors (4998814614).

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

2053305450 is a wasteful number, since it uses less digits than its factorization.

2053305450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 2053305450 is about 45313.4135769973. The cubic root of 2053305450 is about 1271.0164945594.

Adding to 2053305450 its reverse (545033502), we get a palindrome (2598338952).

The spelling of 2053305450 in words is "two billion, fifty-three million, three hundred five thousand, four hundred fifty".