240097060009 has 9 divisors (see below), whose sum is σ = 241713528741. Its totient is φ = 238491339840.

The previous prime is 240097059949. The next prime is 240097060051. The reversal of 240097060009 is 900060790042.

The square root of 240097060009 is 489997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 164126265625 + 75970794384 = 405125^2 + 275628^2 .

It is not a de Polignac number, because 240097060009 - 2³⁵ = 205737321641 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 240097060009.

It is not an unprimeable number, because it can be changed into a prime (240097060409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76927969 + ... + 76931089.

It is an arithmetic number, because the mean of its divisors is an integer number (26857058749).

Almost surely, 2^240097060009 is an apocalyptic number.

240097060009 is the 489997-th square number.

240097060009 is the 244999-th centered octagonal number.

It is an amenable number.

240097060009 is a deficient number, since it is larger than the sum of its proper divisors (1616468732).

240097060009 is an frugal number, since it uses more digits than its factorization.

240097060009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6556 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 240097060009 in words is "two hundred forty billion, ninety-seven million, sixty thousand, nine".