2609379360 has 480 divisors, whose sum is σ = 10757577600. Its totient is φ = 595413504.

The previous prime is 2609379343. The next prime is 2609379403. The reversal of 2609379360 is 639739062.

2609379360 is a `hidden beast` number, since 2 + 609 + 3 + 7 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4444987 + ... + 4445573.

It is an arithmetic number, because the mean of its divisors is an integer number (22411620).

Almost surely, 2^2609379360 is an apocalyptic number.

2609379360 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 2609379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378788800).

2609379360 is an abundant number, since it is smaller than the sum of its proper divisors (8148198240).

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

2609379360 is an equidigital number, since it uses as much as digits as its factorization.

2609379360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 2609379360 is about 51082.0845306845. The cubic root of 2609379360 is about 1376.7203783825.

The spelling of 2609379360 in words is "two billion, six hundred nine million, three hundred seventy-nine thousand, three hundred sixty".