11084682240 has 264 divisors, whose sum is σ = 38586162888. Its totient is φ = 2942238720.

The previous prime is 11084682239. The next prime is 11084682247. The reversal of 11084682240 is 4228648011.

It can be written as a sum of positive squares in 4 ways, for example, as 2359627776 + 8725054464 = 48576^2 + 93408^2 .

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 = 11084682195 and 11084682204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11084682247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13501030 + ... + 13501850.

Almost surely, 2^11084682240 is an apocalyptic number.

11084682240 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 11084682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19293081444).

11084682240 is an abundant number, since it is smaller than the sum of its proper divisors (27501480648).

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

11084682240 is a wasteful number, since it uses less digits than its factorization.

11084682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11084682240 in words is "eleven billion, eighty-four million, six hundred eighty-two thousand, two hundred forty".