26233482240 has 528 divisors, whose sum is σ = 104720458752. Its totient is φ = 5948080128.

The previous prime is 26233482199. The next prime is 26233482313. The reversal of 26233482240 is 4228433262.

26233482240 is a `hidden beast` number, since 2 + 6 + 2 + 334 + 82 + 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 = 26233482195 and 26233482204.

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 47 ways as a sum of consecutive naturals, for example, 53867277 + ... + 53867763.

Almost surely, 2^26233482240 is an apocalyptic number.

26233482240 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 26233482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52360229376).

26233482240 is an abundant number, since it is smaller than the sum of its proper divisors (78486976512).

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

26233482240 is a wasteful number, since it uses less digits than its factorization.

26233482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26233482240 in words is "twenty-six billion, two hundred thirty-three million, four hundred eighty-two thousand, two hundred forty".