2609460000 has 720 divisors, whose sum is σ = 11257646400. Its totient is φ = 559872000.

The previous prime is 2609459977. The next prime is 2609460017. The reversal of 2609460000 is 649062.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23939946 + ... + 23940054.

It is an arithmetic number, because the mean of its divisors is an integer number (15635620).

Almost surely, 2^2609460000 is an apocalyptic number.

2609460000 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 2609460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628823200).

2609460000 is an abundant number, since it is smaller than the sum of its proper divisors (8648186400).

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

2609460000 is a wasteful number, since it uses less digits than its factorization.

2609460000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2609460000 is about 51082.8738424142. The cubic root of 2609460000 is about 1376.7345602463.

The spelling of 2609460000 in words is "two billion, six hundred nine million, four hundred sixty thousand".