2617000000 has 98 divisors (see below), whose sum is σ = 6493784066. Its totient is φ = 1046400000.

The previous prime is 2616999977. The next prime is 2617000019. The reversal of 2617000000 is 7162.

It can be written as a sum of positive squares in 7 ways, for example, as 2415132736 + 201867264 = 49144^2 + 14208^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 998692 + ... + 1001308.

Almost surely, 2^2617000000 is an apocalyptic number.

2617000000 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 2617000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246892033).

2617000000 is an abundant number, since it is smaller than the sum of its proper divisors (3876784066).

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

2617000000 is an frugal number, since it uses more digits than its factorization.

2617000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 2617000000 is about 51156.6222497147. The cubic root of 2617000000 is about 1378.0593038614.

Adding to 2617000000 its reverse (7162), we get a palindrome (2617007162).

The spelling of 2617000000 in words is "two billion, six hundred seventeen million", and thus it is an aban number.