298460267239680 has 2880 divisors, whose sum is σ = 1331012577742848. Its totient is φ = 62181086330880.

The previous prime is 298460267239597. The next prime is 298460267239699. The reversal of 298460267239680 is 86932762064892.

298460267239680 is a `hidden beast` number, since 2 + 9 + 8 + 4 + 602 + 6 + 7 + 2 + 3 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×298460267239680² (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 junction number, because it is equal to n+sod(n) for n = 298460267239599 and 298460267239608.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 301170803985 + ... + 301170804975.

Almost surely, 2^{298460267239680} is an apocalyptic number.

298460267239680 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 298460267239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665506288871424).

298460267239680 is an abundant number, since it is smaller than the sum of its proper divisors (1032552310503168).

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

298460267239680 is a wasteful number, since it uses less digits than its factorization.

298460267239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 298460267239680 in words is "two hundred ninety-eight trillion, four hundred sixty billion, two hundred sixty-seven million, two hundred thirty-nine thousand, six hundred eighty".