275970240 has 588 divisors, whose sum is σ = 1219315824. Its totient is φ = 58226688.

The previous prime is 275970239. The next prime is 275970241. The reversal of 275970240 is 42079572.

275970240 is a `hidden beast` number, since 27 + 597 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (275970239) and next prime (275970241).

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

It is a junction number, because it is equal to n+sod(n) for n = 275970195 and 275970204.

It is not an unprimeable number, because it can be changed into a prime (275970241) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21228474 + ... + 21228486.

Almost surely, 2^275970240 is an apocalyptic number.

275970240 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 275970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609657912).

275970240 is an abundant number, since it is smaller than the sum of its proper divisors (943345584).

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

275970240 is an equidigital number, since it uses as much as digits as its factorization.

275970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 275970240 is about 16612.3520309437. The cubic root of 275970240 is about 651.0596050672.

The spelling of 275970240 in words is "two hundred seventy-five million, nine hundred seventy thousand, two hundred forty".