254617042680 has 2016 divisors, whose sum is σ = 1187536805280. Its totient is φ = 48037017600.

The previous prime is 254617042663. The next prime is 254617042697. The reversal of 254617042680 is 86240716452.

254617042680 is a `hidden beast` number, since 2 + 5 + 4 + 617 + 0 + 4 + 26 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (254617042663) and next prime (254617042697).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 4174049850 + ... + 4174049910.

It is an arithmetic number, because the mean of its divisors is an integer number (589055955).

Almost surely, 2^254617042680 is an apocalyptic number.

254617042680 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 254617042680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593768402640).

254617042680 is an abundant number, since it is smaller than the sum of its proper divisors (932919762600).

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

254617042680 is a wasteful number, since it uses less digits than its factorization.

254617042680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 254617042680 in words is "two hundred fifty-four billion, six hundred seventeen million, forty-two thousand, six hundred eighty".