9152940240 has 120 divisors (see below), whose sum is σ = 30770113920. Its totient is φ = 2438284032.

The previous prime is 9152940197. The next prime is 9152940289. The reversal of 9152940240 is 420492519.

9152940240 is a `hidden beast` number, since 91 + 529 + 4 + 0 + 2 + 40 = 666.

It is a Cunningham number, because it is equal to 95671²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×9152940240² (a number of 21 digits) contains 22 as substring.

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 = 9152940195 and 9152940204.

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 23 ways as a sum of consecutive naturals, for example, 759381 + ... + 771339.

It is an arithmetic number, because the mean of its divisors is an integer number (256417616).

Almost surely, 2^9152940240 is an apocalyptic number.

9152940240 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 9152940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385056960).

9152940240 is an abundant number, since it is smaller than the sum of its proper divisors (21617173680).

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

9152940240 is a wasteful number, since it uses less digits than its factorization.

9152940240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13041 (or 13032 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 9152940240 is about 95670.9999947738. Note that the first 5 decimals coincide. The cubic root of 9152940240 is about 2091.8002422028.

It can be divided in two parts, 91529 and 40240, that added together give a square (131769 = 363²).

The spelling of 9152940240 in words is "nine billion, one hundred fifty-two million, nine hundred forty thousand, two hundred forty".