2900000000 has 162 divisors, whose sum is σ = 7485347730. Its totient is φ = 1120000000.

The previous prime is 2899999957. The next prime is 2900000017. The reversal of 2900000000 is 92.

It can be written as a sum of positive squares in 9 ways, for example, as 986462464 + 1913537536 = 31408^2 + 43744^2 .

It is a sliding number, since 2900000000 = 400000000 + 2500000000 and 1/400000000 + 1/2500000000 = 0.000000002900000000.

It is a congruent number.

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, 99999986 + ... + 100000014.

Almost surely, 2^2900000000 is an apocalyptic number.

2900000000 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 2900000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742673865).

2900000000 is an abundant number, since it is smaller than the sum of its proper divisors (4585347730).

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

2900000000 is an frugal number, since it uses more digits than its factorization.

2900000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2900000000 is about 53851.6480713450. The cubic root of 2900000000 is about 1426.0431471424.

Subtracting from 2900000000 its product of nonzero digits (18), we obtain a palindrome (2899999982).

Adding to 2900000000 its reverse (92), we get a palindrome (2900000092).

The spelling of 2900000000 in words is "two billion, nine hundred million", and thus it is an aban number.