275130240 has 256 divisors, whose sum is σ = 1093962240. Its totient is φ = 57139200.

The previous prime is 275130197. The next prime is 275130257. The reversal of 275130240 is 42031572.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 275130240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146910 + ... + 148770.

It is an arithmetic number, because the mean of its divisors is an integer number (4273290).

Almost surely, 2^275130240 is an apocalyptic number.

275130240 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 275130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

275130240 is an abundant number, since it is smaller than the sum of its proper divisors (818832000).

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

275130240 is a wasteful number, since it uses less digits than its factorization.

275130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 275130240 is about 16587.0503706958. The cubic root of 275130240 is about 650.3983672416.

The spelling of 275130240 in words is "two hundred seventy-five million, one hundred thirty thousand, two hundred forty".