2601000000 has 441 divisors, whose sum is σ = 9899424067. Its totient is φ = 652800000.

The previous prime is 2600999941. The next prime is 2601000043. The reversal of 2601000000 is 1062.

The square root of 2601000000 is 51000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 2557122624 + 43877376 = 50568^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 152999992 + ... + 153000008.

Almost surely, 2^2601000000 is an apocalyptic number.

2601000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2601000000 is the 51000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2601000000

2601000000 is an abundant number, since it is smaller than the sum of its proper divisors (7298424067).

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

2601000000 is an frugal number, since it uses more digits than its factorization.

2601000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 2601000000 is about 1375.2451353580.

Adding to 2601000000 its reverse (1062), we get a palindrome (2601001062).

The spelling of 2601000000 in words is "two billion, six hundred one million", and thus it is an aban number.