254241206064 has 240 divisors, whose sum is σ = 744264578304. Its totient is φ = 80960256000.

The previous prime is 254241206029. The next prime is 254241206069. The reversal of 254241206064 is 460602142452.

254241206064 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 41 + 2 + 0 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (254241206069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47018049 + ... + 47023455.

Almost surely, 2^254241206064 is an apocalyptic number.

254241206064 is a gapful number since it is divisible by the number (24) 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 254241206064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372132289152).

254241206064 is an abundant number, since it is smaller than the sum of its proper divisors (490023372240).

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

254241206064 is a wasteful number, since it uses less digits than its factorization.

254241206064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5627 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 254241206064 in words is "two hundred fifty-four billion, two hundred forty-one million, two hundred six thousand, sixty-four".