9010605240 has 768 divisors, whose sum is σ = 38217553920. Its totient is φ = 1858775040.

The previous prime is 9010605223. The next prime is 9010605311. The reversal of 9010605240 is 425060109.

9010605240 is a `hidden beast` number, since 9 + 0 + 10 + 605 + 2 + 40 = 666.

It is a super-3 number, since 3×9010605240³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53955637 + ... + 53955803.

It is an arithmetic number, because the mean of its divisors is an integer number (49762440).

Almost surely, 2^9010605240 is an apocalyptic number.

9010605240 is a gapful number since it is divisible by the number (90) 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 9010605240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108776960).

9010605240 is an abundant number, since it is smaller than the sum of its proper divisors (29206948680).

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

9010605240 is a wasteful number, since it uses less digits than its factorization.

9010605240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9010605240 is about 94924.2078713328. The cubic root of 9010605240 is about 2080.9005315349.

Adding to 9010605240 its reverse (425060109), we get a palindrome (9435665349).

The spelling of 9010605240 in words is "nine billion, ten million, six hundred five thousand, two hundred forty".