2627404832 has 72 divisors (see below), whose sum is σ = 5627983788. Its totient is φ = 1200268800.

The previous prime is 2627404823. The next prime is 2627404847. The reversal of 2627404832 is 2384047262.

It can be written as a sum of positive squares in 2 ways, for example, as 2276816656 + 350588176 = 47716^2 + 18724^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9485078 + ... + 9485354.

Almost surely, 2^2627404832 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 2627404832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813991894).

2627404832 is an abundant number, since it is smaller than the sum of its proper divisors (3000578956).

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

2627404832 is a wasteful number, since it uses less digits than its factorization.

2627404832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 38.

The square root of 2627404832 is about 51258.2172144135. The cubic root of 2627404832 is about 1379.8832135293.

The spelling of 2627404832 in words is "two billion, six hundred twenty-seven million, four hundred four thousand, eight hundred thirty-two".