272210631040 has 64 divisors (see below), whose sum is σ = 650844668160. Its totient is φ = 108869005312.

The previous prime is 272210631029. The next prime is 272210631047. The reversal of 272210631040 is 40136012272.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×272210631040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272210631047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5284449 + ... + 5335711.

It is an arithmetic number, because the mean of its divisors is an integer number (10169447940).

Almost surely, 2^272210631040 is an apocalyptic number.

272210631040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272210631040 is an abundant number, since it is smaller than the sum of its proper divisors (378634037120).

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

272210631040 is an equidigital number, since it uses as much as digits as its factorization.

272210631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59579 (or 59567 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 272210631040 in words is "two hundred seventy-two billion, two hundred ten million, six hundred thirty-one thousand, forty".