2131627008 has 330 divisors, whose sum is σ = 7040918516. Its totient is φ = 573210624.

The previous prime is 2131627007. The next prime is 2131627009. The reversal of 2131627008 is 8007261312.

It is an interprime number because it is at equal distance from previous prime (2131627007) and next prime (2131627009).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2131627007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125389816 + ... + 125389832.

Almost surely, 2^2131627008 is an apocalyptic number.

2131627008 is a gapful number since it is divisible by the number (28) 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 2131627008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520459258).

2131627008 is an abundant number, since it is smaller than the sum of its proper divisors (4909291508).

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

2131627008 is an frugal number, since it uses more digits than its factorization.

2131627008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2131627008 is about 46169.5463265560. The cubic root of 2131627008 is about 1286.9758714699.

The spelling of 2131627008 in words is "two billion, one hundred thirty-one million, six hundred twenty-seven thousand, eight".