272933004240 has 480 divisors, whose sum is σ = 1041032952960. Its totient is φ = 63526809600.

The previous prime is 272933004233. The next prime is 272933004283. The reversal of 272933004240 is 42400339272.

It is a happy number.

272933004240 is a `hidden beast` number, since 27 + 2 + 93 + 300 + 4 + 240 = 666.

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 = 272933004195 and 272933004204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122886330 + ... + 122888550.

It is an arithmetic number, because the mean of its divisors is an integer number (2168818652).

Almost surely, 2^272933004240 is an apocalyptic number.

272933004240 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 272933004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520516476480).

272933004240 is an abundant number, since it is smaller than the sum of its proper divisors (768099948720).

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

272933004240 is a wasteful number, since it uses less digits than its factorization.

272933004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 272933004240 in words is "two hundred seventy-two billion, nine hundred thirty-three million, four thousand, two hundred forty".