2632089616 has 40 divisors (see below), whose sum is σ = 5509638680. Its totient is φ = 1210899456.

The previous prime is 2632089611. The next prime is 2632089623. The reversal of 2632089616 is 6169802362.

It can be written as a sum of positive squares in 4 ways, for example, as 10240000 + 2621849616 = 3200^2 + 51204^2 .

It is not an unprimeable number, because it can be changed into a prime (2632089611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44890 + ... + 85318.

It is an arithmetic number, because the mean of its divisors is an integer number (137740967).

Almost surely, 2^2632089616 is an apocalyptic number.

2632089616 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 2632089616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754819340).

2632089616 is an abundant number, since it is smaller than the sum of its proper divisors (2877549064).

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

2632089616 is a wasteful number, since it uses less digits than its factorization.

2632089616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40763 (or 40757 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 2632089616 is about 51303.8947449411. The cubic root of 2632089616 is about 1380.7028583722.

The spelling of 2632089616 in words is "two billion, six hundred thirty-two million, eighty-nine thousand, six hundred sixteen".