249540894720 has 896 divisors, whose sum is σ = 1012642404480. Its totient is φ = 57755566080.

The previous prime is 249540894689. The next prime is 249540894749. The reversal of 249540894720 is 27498045942.

It is a happy number.

249540894720 is a `hidden beast` number, since 2 + 4 + 9 + 540 + 8 + 94 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244407810 + ... + 244408830.

It is an arithmetic number, because the mean of its divisors is an integer number (1130181255).

Almost surely, 2^249540894720 is an apocalyptic number.

249540894720 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 249540894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506321202240).

249540894720 is an abundant number, since it is smaller than the sum of its proper divisors (763101509760).

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

249540894720 is a wasteful number, since it uses less digits than its factorization.

249540894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 249540894720 in words is "two hundred forty-nine billion, five hundred forty million, eight hundred ninety-four thousand, seven hundred twenty".