249953394240 has 896 divisors, whose sum is σ = 1038641356800. Its totient is φ = 55947386880.

The previous prime is 249953394233. The next prime is 249953394241. The reversal of 249953394240 is 42493359942.

249953394240 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 5 + 3 + 394 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (249953394241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63389709 + ... + 63393651.

Almost surely, 2^249953394240 is an apocalyptic number.

249953394240 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 249953394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519320678400).

249953394240 is an abundant number, since it is smaller than the sum of its proper divisors (788687962560).

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

249953394240 is a wasteful number, since it uses less digits than its factorization.

249953394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 249953394240 in words is "two hundred forty-nine billion, nine hundred fifty-three million, three hundred ninety-four thousand, two hundred forty".