6105460240 has 120 divisors (see below), whose sum is σ = 16450857792. Its totient is φ = 2089482240.

The previous prime is 6105460181. The next prime is 6105460267. The reversal of 6105460240 is 420645016.

It is a junction number, because it is equal to n+sod(n) for n = 6105460199 and 6105460208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242317 + ... + 266323.

Almost surely, 2^6105460240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6105460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225428896).

6105460240 is an abundant number, since it is smaller than the sum of its proper divisors (10345397552).

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

6105460240 is a wasteful number, since it uses less digits than its factorization.

6105460240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24065 (or 24042 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 6105460240 is about 78137.4445448531. Note that the first 3 decimals coincide. The cubic root of 6105460240 is about 1827.7051509373.

The spelling of 6105460240 in words is "six billion, one hundred five million, four hundred sixty thousand, two hundred forty".