249124332240 has 800 divisors, whose sum is σ = 1054361088000. Its totient is φ = 53248306176.

The previous prime is 249124332239. The next prime is 249124332251. The reversal of 249124332240 is 42233421942.

249124332240 is a `hidden beast` number, since 2 + 4 + 91 + 243 + 322 + 4 + 0 = 666.

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 = 249124332195 and 249124332204.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 68083531 + ... + 68087189.

It is an arithmetic number, because the mean of its divisors is an integer number (1317951360).

Almost surely, 2^249124332240 is an apocalyptic number.

249124332240 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 249124332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527180544000).

249124332240 is an abundant number, since it is smaller than the sum of its proper divisors (805236755760).

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

249124332240 is a wasteful number, since it uses less digits than its factorization.

249124332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 249124332240 in words is "two hundred forty-nine billion, one hundred twenty-four million, three hundred thirty-two thousand, two hundred forty".