249403012720 has 80 divisors (see below), whose sum is σ = 583320700800. Its totient is φ = 99167846400.

The previous prime is 249403012711. The next prime is 249403012757. The reversal of 249403012720 is 27210304942.

249403012720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9721510 + ... + 9747130.

It is an arithmetic number, because the mean of its divisors is an integer number (7291508760).

Almost surely, 2^249403012720 is an apocalyptic number.

249403012720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249403012720 is an abundant number, since it is smaller than the sum of its proper divisors (333917688080).

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

249403012720 is a wasteful number, since it uses less digits than its factorization.

249403012720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26354 (or 26348 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 249403012720 in words is "two hundred forty-nine billion, four hundred three million, twelve thousand, seven hundred twenty".