273296018240 has 336 divisors, whose sum is σ = 798574049280. Its totient is φ = 88581427200.

The previous prime is 273296018231. The next prime is 273296018269. The reversal of 273296018240 is 42810692372.

273296018240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 273296018191 and 273296018200.

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 47 ways as a sum of consecutive naturals, for example, 237441665 + ... + 237442815.

It is an arithmetic number, because the mean of its divisors is an integer number (2376708480).

Almost surely, 2^273296018240 is an apocalyptic number.

273296018240 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 273296018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399287024640).

273296018240 is an abundant number, since it is smaller than the sum of its proper divisors (525278031040).

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

273296018240 is a wasteful number, since it uses less digits than its factorization.

273296018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The spelling of 273296018240 in words is "two hundred seventy-three billion, two hundred ninety-six million, eighteen thousand, two hundred forty".