6181518240 has 240 divisors, whose sum is σ = 23099702472. Its totient is φ = 1551384576.

The previous prime is 6181518221. The next prime is 6181518247. The reversal of 6181518240 is 428151816.

6181518240 is a `hidden beast` number, since 61 + 81 + 518 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5655641616 + 525876624 = 75204^2 + 22932^2 .

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

It is a super-2 number, since 2×6181518240² = 76422335502905395200, which 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 = 6181518195 and 6181518204.

It is not an unprimeable number, because it can be changed into a prime (6181518247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206292 + ... + 234348.

Almost surely, 2^6181518240 is an apocalyptic number.

6181518240 is a gapful number since it is divisible by the number (60) 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 6181518240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549851236).

6181518240 is an abundant number, since it is smaller than the sum of its proper divisors (16918184232).

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

6181518240 is a wasteful number, since it uses less digits than its factorization.

6181518240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28101 (or 28084 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 6181518240 is about 78622.6318562283. The cubic root of 6181518240 is about 1835.2633210112.

The spelling of 6181518240 in words is "six billion, one hundred eighty-one million, five hundred eighteen thousand, two hundred forty".