2678056704 has 216 divisors, whose sum is σ = 8155903392. Its totient is φ = 843448320.

The previous prime is 2678056697. The next prime is 2678056741. The reversal of 2678056704 is 4076508762.

2678056704 is a `hidden beast` number, since 2 + 6 + 7 + 80 + 567 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2678056704.

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, 5139964 + ... + 5140484.

It is an arithmetic number, because the mean of its divisors is an integer number (37758812).

Almost surely, 2^2678056704 is an apocalyptic number.

2678056704 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 2678056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077951696).

2678056704 is an abundant number, since it is smaller than the sum of its proper divisors (5477846688).

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

2678056704 is a wasteful number, since it uses less digits than its factorization.

2678056704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2678056704 is about 51749.9439999697. The cubic root of 2678056704 is about 1388.6940970588.

The spelling of 2678056704 in words is "two billion, six hundred seventy-eight million, fifty-six thousand, seven hundred four".