2609118720 has 480 divisors, whose sum is σ = 10080854784. Its totient is φ = 619315200.

The previous prime is 2609118713. The next prime is 2609118737. The reversal of 2609118720 is 278119062.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9284980 + ... + 9285260.

Almost surely, 2^2609118720 is an apocalyptic number.

2609118720 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 2609118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040427392).

2609118720 is an abundant number, since it is smaller than the sum of its proper divisors (7471736064).

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

2609118720 is a wasteful number, since it uses less digits than its factorization.

2609118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2609118720 is about 51079.5332789954. The cubic root of 2609118720 is about 1376.6745385744.

The spelling of 2609118720 in words is "two billion, six hundred nine million, one hundred eighteen thousand, seven hundred twenty".