2268389340 has 384 divisors, whose sum is σ = 8477952000. Its totient is φ = 502951680.

The previous prime is 2268389317. The next prime is 2268389351. The reversal of 2268389340 is 439838622.

2268389340 is a `hidden beast` number, since 2 + 268 + 389 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6852975 + ... + 6853305.

It is an arithmetic number, because the mean of its divisors is an integer number (22078000).

Almost surely, 2^2268389340 is an apocalyptic number.

2268389340 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 2268389340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238976000).

2268389340 is an abundant number, since it is smaller than the sum of its proper divisors (6209562660).

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

2268389340 is a wasteful number, since it uses less digits than its factorization.

2268389340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2268389340 is about 47627.6111095234. The cubic root of 2268389340 is about 1313.9309194099.

The spelling of 2268389340 in words is "two billion, two hundred sixty-eight million, three hundred eighty-nine thousand, three hundred forty".