2609648832 has 112 divisors (see below), whose sum is σ = 7953735680. Its totient is φ = 739694592.

The previous prime is 2609648779. The next prime is 2609648837. The reversal of 2609648832 is 2388469062.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2609648837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163044 + ... + 178332.

Almost surely, 2^2609648832 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 2609648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976867840).

2609648832 is an abundant number, since it is smaller than the sum of its proper divisors (5344086848).

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

2609648832 is a wasteful number, since it uses less digits than its factorization.

2609648832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15438 (or 15428 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 2609648832 is about 51084.7220996650. The cubic root of 2609648832 is about 1376.7677683008.

The spelling of 2609648832 in words is "two billion, six hundred nine million, six hundred forty-eight thousand, eight hundred thirty-two".