2678962752 has 84 divisors (see below), whose sum is σ = 7693851516. Its totient is φ = 891233280.

The previous prime is 2678962633. The next prime is 2678962771. The reversal of 2678962752 is 2572698762.

2678962752 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 9 + 627 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1491195456 + 1187767296 = 38616^2 + 34464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307318 + ... + 315914.

Almost surely, 2^2678962752 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 2678962752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846925758).

2678962752 is an abundant number, since it is smaller than the sum of its proper divisors (5014888764).

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

2678962752 is a wasteful number, since it uses less digits than its factorization.

2678962752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9156 (or 9143 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 2678962752 is about 51758.6973560966. The cubic root of 2678962752 is about 1388.8506884209.

The spelling of 2678962752 in words is "two billion, six hundred seventy-eight million, nine hundred sixty-two thousand, seven hundred fifty-two".