2609280000 has 440 divisors, whose sum is σ = 9720138560. Its totient is φ = 691200000.

The previous prime is 2609279999. The next prime is 2609280029. The reversal of 2609280000 is 829062.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17279925 + ... + 17280075.

It is an arithmetic number, because the mean of its divisors is an integer number (22091224).

Almost surely, 2^2609280000 is an apocalyptic number.

2609280000 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 2609280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860069280).

2609280000 is an abundant number, since it is smaller than the sum of its proper divisors (7110858560).

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

2609280000 is an equidigital number, since it uses as much as digits as its factorization.

2609280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2609280000 is about 51081.1119691026. Note that the first 3 decimals coincide. The cubic root of 2609280000 is about 1376.7029038986.

The spelling of 2609280000 in words is "two billion, six hundred nine million, two hundred eighty thousand".