264951498240 has 1920 divisors, whose sum is σ = 1158225868800. Its totient is φ = 55077765120.

The previous prime is 264951498223. The next prime is 264951498263. The reversal of 264951498240 is 42894159462.

264951498240 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 514 + 9 + 82 + 40 = 666.

264951498240 is digitally balanced in base 7, 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 (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4490703331 + ... + 4490703389.

It is an arithmetic number, because the mean of its divisors is an integer number (603242640).

Almost surely, 2^264951498240 is an apocalyptic number.

264951498240 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 264951498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579112934400).

264951498240 is an abundant number, since it is smaller than the sum of its proper divisors (893274370560).

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

264951498240 is a wasteful number, since it uses less digits than its factorization.

264951498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 264951498240 in words is "two hundred sixty-four billion, nine hundred fifty-one million, four hundred ninety-eight thousand, two hundred forty".