2609408880 has 720 divisors, whose sum is σ = 10782809856. Its totient is φ = 559595520.

The previous prime is 2609408873. The next prime is 2609408887. The reversal of 2609408880 is 888049062.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2609408873) and next prime (2609408887).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609408887) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84174465 + ... + 84174495.

Almost surely, 2^2609408880 is an apocalyptic number.

2609408880 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 2609408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5391404928).

2609408880 is an abundant number, since it is smaller than the sum of its proper divisors (8173400976).

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

2609408880 is a wasteful number, since it uses less digits than its factorization.

2609408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 2609408880 is about 51082.3734765721. The cubic root of 2609408880 is about 1376.7255699915.

The spelling of 2609408880 in words is "two billion, six hundred nine million, four hundred eight thousand, eight hundred eighty".