2318117040 has 240 divisors, whose sum is σ = 8396650080. Its totient is φ = 571207680.

The previous prime is 2318117029. The next prime is 2318117041. The reversal of 2318117040 is 407118132.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2318117040² = 10747333222276723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2318116995 and 2318117013.

It is not an unprimeable number, because it can be changed into a prime (2318117041) by changing a digit.

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, 558814 + ... + 562946.

It is an arithmetic number, because the mean of its divisors is an integer number (34986042).

Almost surely, 2^2318117040 is an apocalyptic number.

2318117040 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 2318117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198325040).

2318117040 is an abundant number, since it is smaller than the sum of its proper divisors (6078533040).

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

2318117040 is a wasteful number, since it uses less digits than its factorization.

2318117040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2318117040 is about 48146.8279328971. The cubic root of 2318117040 is about 1323.4629457794.

The spelling of 2318117040 in words is "two billion, three hundred eighteen million, one hundred seventeen thousand, forty".