254524285980 has 288 divisors, whose sum is σ = 803889515520. Its totient is φ = 65140416000.

The previous prime is 254524285979. The next prime is 254524286033. The reversal of 254524285980 is 89582425452.

254524285980 is a `hidden beast` number, since 2 + 5 + 4 + 5 + 2 + 42 + 8 + 598 + 0 = 666.

It is a super-2 number, since 2×254524285980² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 142270926 + ... + 142272714.

It is an arithmetic number, because the mean of its divisors is an integer number (2791283040).

Almost surely, 2^254524285980 is an apocalyptic number.

254524285980 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 254524285980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401944757760).

254524285980 is an abundant number, since it is smaller than the sum of its proper divisors (549365229540).

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

254524285980 is a wasteful number, since it uses less digits than its factorization.

254524285980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 254524285980 in words is "two hundred fifty-four billion, five hundred twenty-four million, two hundred eighty-five thousand, nine hundred eighty".