2600000000 has 180 divisors, whose sum is σ = 6993160482. Its totient is φ = 960000000.

The previous prime is 2599999991. The next prime is 2600000041. The reversal of 2600000000 is 62.

It can be written as a sum of positive squares in 9 ways, for example, as 2259671296 + 340328704 = 47536^2 + 18448^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 199999994 + ... + 200000006.

Almost surely, 2^2600000000 is an apocalyptic number.

2600000000 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 2600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496580241).

2600000000 is an abundant number, since it is smaller than the sum of its proper divisors (4393160482).

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

2600000000 is an frugal number, since it uses more digits than its factorization.

2600000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 2600000000 is about 50990.1951359278. The cubic root of 2600000000 is about 1375.0688670741.

Adding to 2600000000 its reverse (62), we get a palindrome (2600000062).

The spelling of 2600000000 in words is "two billion, six hundred million", and thus it is an aban number.