2268406584 has 48 divisors (see below), whose sum is σ = 6166324320. Its totient is φ = 753338880.

The previous prime is 2268406583. The next prime is 2268406603. The reversal of 2268406584 is 4856048622.

2268406584 is a `hidden beast` number, since 2 + 2 + 68 + 4 + 0 + 6 + 584 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268406583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38617 + ... + 77640.

It is an arithmetic number, because the mean of its divisors is an integer number (128465090).

Almost surely, 2^2268406584 is an apocalyptic number.

2268406584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2268406584 is an abundant number, since it is smaller than the sum of its proper divisors (3897917736).

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

2268406584 is a wasteful number, since it uses less digits than its factorization.

2268406584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116540 (or 116533 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2268406584 is about 47627.7921386243. The cubic root of 2268406584 is about 1313.9342488454.

The spelling of 2268406584 in words is "two billion, two hundred sixty-eight million, four hundred six thousand, five hundred eighty-four".