2678510752 has 48 divisors (see below), whose sum is σ = 5593940352. Its totient is φ = 1258122240.

The previous prime is 2678510749. The next prime is 2678510753. The reversal of 2678510752 is 2570158762.

2678510752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2678510699 and 2678510708.

It is not an unprimeable number, because it can be changed into a prime (2678510753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306313 + ... + 314935.

It is an arithmetic number, because the mean of its divisors is an integer number (116540424).

Almost surely, 2^2678510752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678510752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796970176).

2678510752 is an abundant number, since it is smaller than the sum of its proper divisors (2915429600).

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

2678510752 is a wasteful number, since it uses less digits than its factorization.

2678510752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9221 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 2678510752 is about 51754.3307559860. The cubic root of 2678510752 is about 1388.7725741308.

The spelling of 2678510752 in words is "two billion, six hundred seventy-eight million, five hundred ten thousand, seven hundred fifty-two".