2600009280 has 420 divisors, whose sum is σ = 10178178780. Its totient is φ = 629544960.

The previous prime is 2600009261. The next prime is 2600009299. The reversal of 2600009280 is 829000062.

It is an interprime number because it is at equal distance from previous prime (2600009261) and next prime (2600009299).

It can be written as a sum of positive squares in 2 ways, for example, as 1214383104 + 1385626176 = 34848^2 + 37224^2 .

It is a super-2 number, since 2×2600009280² = 13520096512172236800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3135906 + ... + 3136734.

It is an arithmetic number, because the mean of its divisors is an integer number (24233759).

Almost surely, 2^2600009280 is an apocalyptic number.

2600009280 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 2600009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089089390).

2600009280 is an abundant number, since it is smaller than the sum of its proper divisors (7578169500).

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

2600009280 is a wasteful number, since it uses less digits than its factorization.

2600009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 850 counting only the distinct ones).

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

The square root of 2600009280 is about 50990.2861337334. The cubic root of 2600009280 is about 1375.0705030516.

The spelling of 2600009280 in words is "two billion, six hundred million, nine thousand, two hundred eighty".