255180240 has 240 divisors, whose sum is σ = 1022880960. Its totient is φ = 58302720.

The previous prime is 255180223. The next prime is 255180257. The reversal of 255180240 is 42081552.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (255180223) and next prime (255180257).

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 104635 + ... + 107045.

It is an arithmetic number, because the mean of its divisors is an integer number (4262004).

Almost surely, 2^255180240 is an apocalyptic number.

255180240 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 255180240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511440480).

255180240 is an abundant number, since it is smaller than the sum of its proper divisors (767700720).

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

255180240 is a wasteful number, since it uses less digits than its factorization.

255180240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 255180240 is about 15974.3619590893. The cubic root of 255180240 is about 634.2819419582.

The spelling of 255180240 in words is "two hundred fifty-five million, one hundred eighty thousand, two hundred forty".