2668754304 has 192 divisors, whose sum is σ = 8019648000. Its totient is φ = 883395072.

The previous prime is 2668754293. The next prime is 2668754317. The reversal of 2668754304 is 4034578662.

2668754304 is a `hidden beast` number, since 26 + 6 + 87 + 543 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2668754304.

It is a congruent number.

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, 7433677 + ... + 7434035.

It is an arithmetic number, because the mean of its divisors is an integer number (41769000).

Almost surely, 2^2668754304 is an apocalyptic number.

2668754304 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 2668754304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

2668754304 is an abundant number, since it is smaller than the sum of its proper divisors (5350893696).

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

2668754304 is an equidigital number, since it uses as much as digits as its factorization.

2668754304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2668754304 is about 51659.9874564445. The cubic root of 2668754304 is about 1387.0843260307.

The spelling of 2668754304 in words is "two billion, six hundred sixty-eight million, seven hundred fifty-four thousand, three hundred four".