273435402240 has 2688 divisors, whose sum is σ = 1381519411200. Its totient is φ = 49686773760.

The previous prime is 273435402239. The next prime is 273435402241. The reversal of 273435402240 is 42204534372.

273435402240 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 3 + 5 + 402 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (273435402239) and next prime (273435402241).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 273435402195 and 273435402204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273435402241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14391336951 + ... + 14391336969.

Almost surely, 2^273435402240 is an apocalyptic number.

273435402240 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 273435402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690759705600).

273435402240 is an abundant number, since it is smaller than the sum of its proper divisors (1108084008960).

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

273435402240 is a wasteful number, since it uses less digits than its factorization.

273435402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 273435402240 in words is "two hundred seventy-three billion, four hundred thirty-five million, four hundred two thousand, two hundred forty".