2609649100 has 72 divisors (see below), whose sum is σ = 5924620800. Its totient is φ = 996441600.

The previous prime is 2609649083. The next prime is 2609649101. The reversal of 2609649100 is 19469062.

It is a self number, because there is not a number n which added to its sum of digits gives 2609649100.

It is not an unprimeable number, because it can be changed into a prime (2609649101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253045 + ... + 263155.

It is an arithmetic number, because the mean of its divisors is an integer number (82286400).

Almost surely, 2^2609649100 is an apocalyptic number.

2609649100 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 2609649100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962310400).

2609649100 is an abundant number, since it is smaller than the sum of its proper divisors (3314971700).

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

2609649100 is a wasteful number, since it uses less digits than its factorization.

2609649100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10243 (or 10236 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 2609649100 is about 51084.7247227584. The cubic root of 2609649100 is about 1376.7678154302.

The spelling of 2609649100 in words is "two billion, six hundred nine million, six hundred forty-nine thousand, one hundred".