11300000240 has 80 divisors (see below), whose sum is σ = 26702710560. Its totient is φ = 4446182400.

The previous prime is 11300000233. The next prime is 11300000251. The reversal of 11300000240 is 4200000311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5943290 + ... + 5945190.

It is an arithmetic number, because the mean of its divisors is an integer number (333783882).

Almost surely, 2^11300000240 is an apocalyptic number.

11300000240 is a gapful number since it is divisible by the number (10) 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 11300000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351355280).

11300000240 is an abundant number, since it is smaller than the sum of its proper divisors (15402710320).

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

11300000240 is a wasteful number, since it uses less digits than its factorization.

11300000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11300000240 its reverse (4200000311), we get a palindrome (15500000551).

The spelling of 11300000240 in words is "eleven billion, three hundred million, two hundred forty", and thus it is an aban number.