249240560 has 40 divisors (see below), whose sum is σ = 580141440. Its totient is φ = 99583232.

The previous prime is 249240559. The next prime is 249240569. The reversal of 249240560 is 65042942.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×249240560² = 124241713498227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249240569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 135809 + ... + 137631.

It is an arithmetic number, because the mean of its divisors is an integer number (14503536).

Almost surely, 2^249240560 is an apocalyptic number.

249240560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249240560 is an abundant number, since it is smaller than the sum of its proper divisors (330900880).

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

249240560 is a wasteful number, since it uses less digits than its factorization.

249240560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 249240560 is about 15787.3544332165. The cubic root of 249240560 is about 629.3219883085.

The spelling of 249240560 in words is "two hundred forty-nine million, two hundred forty thousand, five hundred sixty".