2678562432 has 640 divisors, whose sum is σ = 10450218240. Its totient is φ = 660897792.

The previous prime is 2678562361. The next prime is 2678562433. The reversal of 2678562432 is 2342658762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678562433) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 16039213 + ... + 16039379.

It is an arithmetic number, because the mean of its divisors is an integer number (16328466).

Almost surely, 2^2678562432 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 2678562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225109120).

2678562432 is an abundant number, since it is smaller than the sum of its proper divisors (7771655808).

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

2678562432 is a wasteful number, since it uses less digits than its factorization.

2678562432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

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

The square root of 2678562432 is about 51754.8300354663. The cubic root of 2678562432 is about 1388.7815058733.

The spelling of 2678562432 in words is "two billion, six hundred seventy-eight million, five hundred sixty-two thousand, four hundred thirty-two".