273604516240 has 160 divisors (see below), whose sum is σ = 697198233600. Its totient is φ = 99029736960.

The previous prime is 273604516223. The next prime is 273604516249. The reversal of 273604516240 is 42615406372.

273604516240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 273604516193 and 273604516202.

It is not an unprimeable number, because it can be changed into a prime (273604516249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 268502451 + ... + 268503469.

It is an arithmetic number, because the mean of its divisors is an integer number (4357488960).

Almost surely, 2^273604516240 is an apocalyptic number.

273604516240 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 273604516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348599116800).

273604516240 is an abundant number, since it is smaller than the sum of its proper divisors (423593717360).

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

273604516240 is a wasteful number, since it uses less digits than its factorization.

273604516240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 273604516240 in words is "two hundred seventy-three billion, six hundred four million, five hundred sixteen thousand, two hundred forty".