249600774240 has 288 divisors, whose sum is σ = 891428297760. Its totient is φ = 65948442624.

The previous prime is 249600774239. The next prime is 249600774253. The reversal of 249600774240 is 42477006942.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4208472 + ... + 4267368.

It is an arithmetic number, because the mean of its divisors is an integer number (3095237145).

Almost surely, 2^249600774240 is an apocalyptic number.

249600774240 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 249600774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445714148880).

249600774240 is an abundant number, since it is smaller than the sum of its proper divisors (641827523520).

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

249600774240 is a wasteful number, since it uses less digits than its factorization.

249600774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59036 (or 59016 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 249600774240 in words is "two hundred forty-nine billion, six hundred million, seven hundred seventy-four thousand, two hundred forty".