249874732224 has 896 divisors, whose sum is σ = 867436416000. Its totient is φ = 69872025600.

The previous prime is 249874732213. The next prime is 249874732231. The reversal of 249874732224 is 422237478942.

249874732224 is a `hidden beast` number, since 249 + 8 + 74 + 7 + 322 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1907440639 + ... + 1907440769.

It is an arithmetic number, because the mean of its divisors is an integer number (968121000).

Almost surely, 2^249874732224 is an apocalyptic number.

249874732224 is a gapful number since it is divisible by the number (24) 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 249874732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433718208000).

249874732224 is an abundant number, since it is smaller than the sum of its proper divisors (617561683776).

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

249874732224 is a wasteful number, since it uses less digits than its factorization.

249874732224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 318 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 249874732224 in words is "two hundred forty-nine billion, eight hundred seventy-four million, seven hundred thirty-two thousand, two hundred twenty-four".