2668358784 has 256 divisors, whose sum is σ = 9184896000. Its totient is φ = 666537984.

The previous prime is 2668358779. The next prime is 2668358789. The reversal of 2668358784 is 4878538662.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2668358779) and next prime (2668358789).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2668358789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 661927 + ... + 665945.

It is an arithmetic number, because the mean of its divisors is an integer number (35878500).

Almost surely, 2^2668358784 is an apocalyptic number.

2668358784 is a gapful number since it is divisible by the number (24) 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 2668358784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4592448000).

2668358784 is an abundant number, since it is smaller than the sum of its proper divisors (6516537216).

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

2668358784 is a wasteful number, since it uses less digits than its factorization.

2668358784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4075 (or 4063 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 2668358784 is about 51656.1592068168. The cubic root of 2668358784 is about 1387.0157988410.

The spelling of 2668358784 in words is "two billion, six hundred sixty-eight million, three hundred fifty-eight thousand, seven hundred eighty-four".