249042080 has 96 divisors (see below), whose sum is σ = 676045440. Its totient is φ = 84925440.

The previous prime is 249042023. The next prime is 249042097. The reversal of 249042080 is 80240942.

It is a super-2 number, since 2×249042080² = 124043915221452800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255995 + ... + 256965.

It is an arithmetic number, because the mean of its divisors is an integer number (7042140).

Almost surely, 2^249042080 is an apocalyptic number.

249042080 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 249042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338022720).

249042080 is an abundant number, since it is smaller than the sum of its proper divisors (427003360).

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

249042080 is a wasteful number, since it uses less digits than its factorization.

249042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 249042080 is about 15781.0671375544. The cubic root of 249042080 is about 629.1548927132.

The spelling of 249042080 in words is "two hundred forty-nine million, forty-two thousand, eighty".