2627328440 has 64 divisors (see below), whose sum is σ = 6458296320. Its totient is φ = 954000000.

The previous prime is 2627328437. The next prime is 2627328467. The reversal of 2627328440 is 448237262.

It is a junction number, because it is equal to n+sod(n) for n = 2627328394 and 2627328403.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 326465 + ... + 334415.

It is an arithmetic number, because the mean of its divisors is an integer number (100910880).

Almost surely, 2^2627328440 is an apocalyptic number.

2627328440 is a gapful number since it is divisible by the number (20) 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 2627328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229148160).

2627328440 is an abundant number, since it is smaller than the sum of its proper divisors (3830967880).

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

2627328440 is a wasteful number, since it uses less digits than its factorization.

2627328440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8724 (or 8720 counting only the distinct ones).

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

The square root of 2627328440 is about 51257.4720406693. The cubic root of 2627328440 is about 1379.8698399958.

It can be divided in two parts, 262732 and 8440, that added together give a palindrome (271172).

The spelling of 2627328440 in words is "two billion, six hundred twenty-seven million, three hundred twenty-eight thousand, four hundred forty".