2618471268 has 72 divisors (see below), whose sum is σ = 7624128512. Its totient is φ = 742234752.

The previous prime is 2618471239. The next prime is 2618471269. The reversal of 2618471268 is 8621748162.

2618471268 is a `hidden beast` number, since 2 + 618 + 4 + 7 + 1 + 26 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2618471269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8905 + ... + 72912.

Almost surely, 2^2618471268 is an apocalyptic number.

2618471268 is a gapful number since it is divisible by the number (28) 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 2618471268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812064256).

2618471268 is an abundant number, since it is smaller than the sum of its proper divisors (5005657244).

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

2618471268 is a wasteful number, since it uses less digits than its factorization.

2618471268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81961 (or 81956 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2618471268 is about 51171.0002638213. Note that the first 3 decimals coincide. The cubic root of 2618471268 is about 1378.3175021450.

The spelling of 2618471268 in words is "two billion, six hundred eighteen million, four hundred seventy-one thousand, two hundred sixty-eight".