2674766304 has 288 divisors, whose sum is σ = 9070903296. Its totient is φ = 731566080.

The previous prime is 2674766291. The next prime is 2674766359. The reversal of 2674766304 is 4036674762.

2674766304 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 7 + 6 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 2674766304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7936824 + ... + 7937160.

It is an arithmetic number, because the mean of its divisors is an integer number (31496192).

Almost surely, 2^2674766304 is an apocalyptic number.

2674766304 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 2674766304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535451648).

2674766304 is an abundant number, since it is smaller than the sum of its proper divisors (6396136992).

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

2674766304 is a wasteful number, since it uses less digits than its factorization.

2674766304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 2674766304 is about 51718.1428900923. The cubic root of 2674766304 is about 1388.1251233309.

The spelling of 2674766304 in words is "two billion, six hundred seventy-four million, seven hundred sixty-six thousand, three hundred four".