2627234896 has 80 divisors (see below), whose sum is σ = 6002115840. Its totient is φ = 1098293760.

The previous prime is 2627234881. The next prime is 2627234921. The reversal of 2627234896 is 6984327262.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668425 + ... + 672343.

It is an arithmetic number, because the mean of its divisors is an integer number (75026448).

Almost surely, 2^2627234896 is an apocalyptic number.

2627234896 is a gapful number since it is divisible by the number (26) 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 2627234896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001057920).

2627234896 is an abundant number, since it is smaller than the sum of its proper divisors (3374880944).

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

2627234896 is a wasteful number, since it uses less digits than its factorization.

2627234896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4238 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 49.

The square root of 2627234896 is about 51256.5595411943. The cubic root of 2627234896 is about 1379.8534634014.

The spelling of 2627234896 in words is "two billion, six hundred twenty-seven million, two hundred thirty-four thousand, eight hundred ninety-six".