298472966346240 has 1280 divisors, whose sum is σ = 1225548914135040. Its totient is φ = 67443425280000.

The previous prime is 298472966346197. The next prime is 298472966346259. The reversal of 298472966346240 is 42643669274892.

298472966346240 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 72 + 96 + 6 + 3 + 462 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×298472966346240² (a number of 30 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 21705539365 + ... + 21705553115.

It is an arithmetic number, because the mean of its divisors is an integer number (957460089168).

Almost surely, 2^{298472966346240} is an apocalyptic number.

298472966346240 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 298472966346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612774457067520).

298472966346240 is an abundant number, since it is smaller than the sum of its proper divisors (927075947788800).

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

298472966346240 is a wasteful number, since it uses less digits than its factorization.

298472966346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14300 (or 14278 counting only the distinct ones).

The product of its (nonzero) digits is 1504935936, while the sum is 72.

The spelling of 298472966346240 in words is "two hundred ninety-eight trillion, four hundred seventy-two billion, nine hundred sixty-six million, three hundred forty-six thousand, two hundred forty".