2253545658 has 256 divisors, whose sum is σ = 6523453440. Its totient is φ = 560431872.

The previous prime is 2253545647. The next prime is 2253545663. The reversal of 2253545658 is 8565453522.

2253545658 is a `hidden beast` number, since 2 + 2 + 53 + 545 + 6 + 58 = 666.

It is a super-3 number, since 3×2253545658³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 14353716 + ... + 14353872.

It is an arithmetic number, because the mean of its divisors is an integer number (25482240).

Almost surely, 2^2253545658 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253545658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261726720).

2253545658 is an abundant number, since it is smaller than the sum of its proper divisors (4269907782).

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

2253545658 is a wasteful number, since it uses less digits than its factorization.

2253545658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The square root of 2253545658 is about 47471.5247069230. The cubic root of 2253545658 is about 1311.0586508748.

The spelling of 2253545658 in words is "two billion, two hundred fifty-three million, five hundred forty-five thousand, six hundred fifty-eight".