249243234240 has 2688 divisors, whose sum is σ = 1209536133120. Its totient is φ = 42042654720.

The previous prime is 249243234217. The next prime is 249243234241. The reversal of 249243234240 is 42432342942.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249243234241) 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 383 ways as a sum of consecutive naturals, for example, 3414290844 + ... + 3414290916.

It is an arithmetic number, because the mean of its divisors is an integer number (449976240).

Almost surely, 2^249243234240 is an apocalyptic number.

249243234240 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 249243234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604768066560).

249243234240 is an abundant number, since it is smaller than the sum of its proper divisors (960292898880).

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

249243234240 is a wasteful number, since it uses less digits than its factorization.

249243234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 249243234240 in words is "two hundred forty-nine billion, two hundred forty-three million, two hundred thirty-four thousand, two hundred forty".