249969924444240 has 2880 divisors, whose sum is σ = 1156984544821248. Its totient is φ = 46952707276800.

The previous prime is 249969924444239. The next prime is 249969924444269. The reversal of 249969924444240 is 42444429969942.

249969924444240 is a `hidden beast` number, since 2 + 4 + 9 + 96 + 9 + 92 + 4 + 4 + 442 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 150312641649 + ... + 150312643311.

Almost surely, 2^{249969924444240} is an apocalyptic number.

249969924444240 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 249969924444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578492272410624).

249969924444240 is an abundant number, since it is smaller than the sum of its proper divisors (907014620377008).

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

249969924444240 is a wasteful number, since it uses less digits than its factorization.

249969924444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 249969924444240 in words is "two hundred forty-nine trillion, nine hundred sixty-nine billion, nine hundred twenty-four million, four hundred forty-four thousand, two hundred forty".